in order for an andre to reach his saving goal how much will andrew need to save each month
Answers
SOLUTION
Write out formula
Where
PMT= Monthly payment
P= Principal
APR= Annual payment rate
n = number of times compounded in a year
\(\begin{gathered} P=36,950 \\ \text{APR}=2.5\text{ \%=0.025} \\ n=12 \\ y=5 \end{gathered}\)Substitute the values into the formula
\(\text{PMT}=\frac{36950\times\frac{0.025}{12}}{(1-(1+\frac{0.025}{12})^{-5(12)}}\)Simplifying the expression above
\(\begin{gathered} \text{PMT}=\frac{76.979}{1-(1.0021)^{-60}} \\ \\ \text{PMT}=\frac{76.979}{1-0.8826}=\frac{76.979}{0.1174}=655.70 \end{gathered}\)Hence
\(\text{PMT}=655.70\)Therefore,
Andre will need to save 655.70monthly to reach his goal
Related Questions
Can someone help me with this math problem asap
Answers
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is 5: 7. Is Lonnie correct? Show why or why not.
Answers
Answer:
Step-by-step explanation:No, Lonnie is not correct. Step-by-step explanation: Because if we put 35 and 42 in rational form we can write it to its simple form by dividing it and after dividing we get the answer as 5 : 6. so that means Lonnie in incorrect.D
A pizzeria stores flour in a 5-gallon container. Each pizza they make uses 7 cups of flour. Can the cooks at the pizzeria make a dozen pizzas without refilling the canister? Complete the explanation.
Answers
The canister holds 80 cups and they need 84 cups of flour to make a dozen pizzas. So, the cooks cannot make a dozen pizzas without refilling the canister. The solution has been obtained by using unitary method.
What is the unitary method?
The unitary technique is used to first calculate the value of each individual unit, and only then is the value of the necessary quantity of units calculated.
We are given that a pizzeria stores flour in a 5-gallon container. We assumed that 16 cups make 1 gallon.
So, number of cups that will make 5 gallon is 16 * 5 = 80 cups
Since, each pizza they make uses 7 cups of flour. So, for making 12 pizzas, they require 12 * 7 = 84 cups of flour.
Hence, the cooks cannot make a dozen pizzas without refilling the canister.
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Please give your calculations too.
Answers
Answer:
1) number of boys in school is 48 [ Could be true ]
2) fraction of the boys in the school is = 6/6+7= 6/13 [False]
3) fraction of girls in school is 7/6+7=7/13 [Definitely true]
\(---------------\)
hope it helps...
have a great day!!!
I'LL MARK THE BRAINLIEST
The diameter of a circle is 10 3/4 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer: The radius of the circle is 5 3/8 inches.
Step-by-step explanation:
The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:
10 3/4 = (10 × 4 + 3)/4 = 43/4
So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:
r = (43/4) ÷ 2 = 43/8
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:
r = 43/8 = 5 3/8
Therefore, the radius of the circle is 5 3/8 inches.
Answer:5 3/4
Step-by-step explanation:
10 3/4 * 1/2
1/2 * 43/4 = 43/8
8/43=5 3/4
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brandon invests $5800 in two different accounts. The first account paid 3 %, the second account paid 8 % in interest. At the end of the first year he had earned $229 in interest. How much was in each account?
$ ___ at 3 %
$ ____ at 8 %
Answers
Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest. The total interest earned after one year is $229
How much was in each account?
Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:
\(x + y = 5800\)
The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:
\(0.03x + 0.08y = 229\)
We now have two equations with two unknowns:
\(x + y = 5800\)
\(0.03x + 0.08y = 229\)
We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.
Solve the first equation for x:
\(x = 5800 - y\)
Substitute this expression for x into the second equation and solve for y:
\(0.03(5800 - y) + 0.08y = 229\)
\(174 - 0.03y + 0.08y = 229\)
\(0.05y = 55\)
\(y = 1100\)
Now substitute this value of y into either equation to solve for x:
\(x + 1100 = 5800\)
\(x = 4700\)
Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.
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I was doing math then I got this question wrong.
Why is C not on the y-axis, and why is b on y-axis.
Answers
The options that correctly show the points of the given graph are;
Option 4: A is on the y-axis
Option 5; D is on the x-axis
How to interpret the axis of a graph?Usually in mathematical equation graphs, the y-axis represents the range of the function which is a set of all possible output values for given input values . Whereas, the domain is usually represented on the x-axis and it shows the set of all possible input values of the function.
Now, from the given graph, we see the following;
A is on the y-axis
B is at the origin
C is at the point (1, 2)
D is on the x-axis
Looking at the options, we can tell that options 4 and 5 are correct representations of the given graph because they correctly denote the points on the x-axis and y-axis.
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19. A laptop is marked down from $1250 to $925. What is the percent
change? *
Answers
Answer:
It is marked down by 26 percent.
Step-by-step explanation:
Hope this helps and have a great day!!!
Answer:
It would be marked down by 26%.
An envelope is 15 centimeters wide, and it measures 17 centimeters along the diagonal. The envelope is __ centimeters tall.
Answers
An envelope is rectangular in shape.
Given the width = 15cm, and diagonal = 17cm
Let h represent the tall length of the envelope
Applying Pythagoras theorem, we have
\(\begin{gathered} 17^2=15^2+h^2 \\ 289=225+h^2 \\ h^2=289-225 \\ h^2=64 \\ h=\sqrt[]{64} \\ h=8\operatorname{cm} \end{gathered}\)The envelope is 8cm tall
how do I solve this question?
Answers
Answer:
\( -7 \frac{1}{2} \)
Step-by-step explanation:
\( \frac{6 {x}^{ - 1} {y}^{ \frac{7}{2} } }{ \sqrt{16 {x}^{2} } {y}^{2} } \\ \\ = \frac{6 {x}^{ - 1} {y}^{ \frac{7}{2} } }{ \sqrt{(4 {x} {y})^{2} }}\\ \\ = \frac{6 {x}^{ - 1} {y}^{ \frac{7}{2} } }{ {4 {x} {y}}}\\ \\ = \frac{6}{4} {x }^{ - 1 - 1} {y}^{ \frac{7}{2} - 1 } \\ \\ = \frac{3}{2} {x }^{ - 2} {y}^{ \frac{5}{2} } \\ \\ equating \: it \: with \: \\ a {x}^{b} {y}^{c} \\ \\ \implies \\ a = \frac{3}{2} \\ \\ b = - 2 \\ \\ c = \frac{5}{2} \\ \\ abc = \frac{3}{2} \times ( - 2) \times \frac{5}{2} \\ \\ = - \frac{15}{2} \\ \\ =- 7 \frac{1}{2} \\ \)
Suppose your uncle gives you money during the first 15 days of each month. He gives you $100 onthe first day, $50 the next day, then $25 on the day after that, and follows the same pattern until thefifteenth day. How much would your uncle give you in a year?
Answers
Okay, here you have a sequence problem. First, you need to find how much money your uncle gives you each month, and then you multiply that result by 12, which are the months in a year. The first term of the sequence is 100 and each day he gives you half of the previous day. The next formula is the one you need to use:
\(\sum ^n_{i\mathop=0}100\cdot\frac{1}{2^i}=200-100\cdot2^{-n}=200-100\cdot2^{-15}\cong199.997\)\(199.997\cdot12=2399.96\)Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers,
Express in exponential form.
logo0.001 =3
Answers
In order to write log10(0.001) = -3 in index form, we have \(10^{-3} = 0.001\).
Exponential form of logarithmThe logarithm of a number refers to the power to which a given base is raised to give the number. In this case, the base is 10 and the index is 3. Our task is to write log10(0.001) = -3 in index form.
Recall that;
\(a^{x}\) = PHence, to write log10(0.001) = -3 in index form we have to write, \(10^{-3} = 0.001\)
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if the earthquake has stronger magnitude what does it mean
Answers
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.
The figure below shows parallel lines cut by a transversal. Which statement is true about angles 1 and 2?
A. Angles 1 and 2 are complementary because they are a pair of corresponding angles.
B. Angles 1 and 2 are congruent because they are a pair of corresponding angles.
C. Angles 1 and 2 are complementary because they are a pair of alternate interior angles.
D. Angles 1 and 2 are congruent because they are a pair of alternate interior angles.
Answers
Answer:
The answer is B. they are congruent because they are a pair of corresponding angles.
Answer:
B)
Step-by-step explanation:
Angles 1 and two are corresponding angles, because if you were to move the top line down, the two angles would be in the exact same spot.
I need help with these questions
Answers
Answer:
(2nd question, asking about height)
8cm or 0.08m
Step-by-step explanation:
1.43m - 143cm
(1m = 100cm)
143cm - 135cm = 8cm
Answer:
445mm & 44.5cm
Step-by-step explanation:
155mm - 15.5cm
(1mm = 0.1cm)
15.5 + 16 + 13 = 44.5cm
44.5cm - 445mm
Answer:
1) 18.3m-16.5m=2.8m
2) 1.43m-135cm=0.81m
3) 0.16m+1.55m+0.13m=0,84m or 84cm
4)-
5)-
Step-by-step explanation:
2)cause 135cm is 1.35m
¿Qué porcentaje de niños prefieren la materia de español? Considera que los 9 alumnos son igual al 100 %?
Answers
Answer:
hold yo ablo espanol
Step-by-step explanation:
Assume that a sample is used to estimate a population proportion p. Find the 95% confidence for a sample of size 246 with 52% successes. Enter your answer as an open -interval using decimals
Answers
Using the z-distribution, the 95% confidence interval for the proportion is given as follows:
(0.4576, 0.5824).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The other parameters for the interval are given as follows:
\(n = 246, \pi = 0.52\).
The lower and upper bound of the interval, respectively, are given by:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.4576\)
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.5824\)
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The length of a rectangle is nine more than triple the width. If the perimeter is 98 inches, find the dimensions. The width is ___inches. The length is ___ inches.
Answers
Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.
Let:
l = length of the rectangle
w = width of the rectangle
"The length of a rectangle is nine more than triple the width" can be translated as:
l = 9 + 3w
perimeter = 2 l + 2w
Substitute perimeter = 98 and l = 9 + 3w into the perimeter equation:
98 = 2 x (9 + 3w) + 2w
98 = 18 + 8w
8w = 98 - 18
8w = 80
w = 80/8 = 10 inch.
Substitute w = 10 into the length equation:
l = 9 + 3w
l = 9 + 3 x 10
l = 9 + 30 = 39
Therefore the correct answer is:
The width is _10_inches. The length is 39 inches.
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Factor the expression:
16x^2+25
A) (4x-5i)(4x-5i)
B)(4x-5i)(4x+5i)
C) (4x-5)(4x+5i)
D (4x+5)(4x-5)
Answers
Answer:
B) (4x-5i)(4x+5i)
Step-by-step explanation:
The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...
a² -b² = (a -b)(a +b)
__
Here, we have ...
a² -b² = 16x² -(-25)
a² = 16x² ⇒ a = 4x
b² = -25 ⇒ b = √-25 = 5i
Then the factoring is ...
(a -b)(a +b) = (4x -5i)(4x +5i)
Answer:
Answer:
B) (4x-5i)(4x+5i)
Step-by-step explanation:
The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...
a² -b² = (a -b)(a +b)
__
Here, we have ...
a² -b² = 16x² -(-25)
a² = 16x² ⇒ a = 4x
b² = -25 ⇒ b = √-25 = 5i
Then the factoring is ...
(a -b)(a +b) = (4x -5i)(4x +5i)
Step-by-step explanation:
Two similar solids have a scale factor of 5:3.
What is the ratio of their volumes expressed in lowest terms?
Answers
The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.
How to Determine The Ratio of the Volume of Similar Solids?If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:
Volume of solid A/Volume of solid B = a³/b³
or
Volume of solid A : Volume of solid B = a³ : b³
Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:
5³ : 3³
125 : 27
Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.
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the shortest side of a right triangle measures 7m. The lengths of the other two sides are Consecutive integers. What is the length of the other two sides?
Answers
The lengths of the other two sides of the right triangle are 24m and 25m, respectively.
Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Using this theorem, we have the equation:
\(7^2 + x^2 = (x + 1)^2\)
Expanding and simplifying this equation, we get:
\(49 + x^2 = x^2 + 2x + 1\)
Now, we can cancel out \(x^2\) from both sides of the equation:
49 = 2x + 1
Next, we can isolate 2x:
2x = 49 - 1
2x = 48
Dividing both sides by 2, we find:
x = 24
Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.
Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.
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If (5^4)m=5^12 What is the value of M
Answers
Answer:
Step-by-step explanation:
Easy way to solve
5^4 = 625.
5^12=244140625.
Thus, 625m=244140625.
Divide both sides by 625/
m=390625, or 5^8.
Better way to solve
When dividing by exponents \(x^{4}/x^{2} =x^{4-2}=x^2\)
Thus, simply do 12-4=8 to know that m=5^8.
Hope it helps <3
Answer:
5⁸Step-by-step explanation:
(5⁴)m = 5¹²
Divide both sides by 5⁴
((5⁴)m)/5⁴ = 5¹²/5⁴
m = 5⁸
convert 6/8 to a decimal and explain how you got the answer
Answers
Answer:
0.65
Step-by-step explanation:
6/8 is the same thing as 3/4, and 3/4 is equal to 0.75
Hope this helps :D
Valerie and Bret have a total of 21 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have? Plz help
Answers
Answer11
Step-by-step explanation:
1. Divide 6/13 by 6/12
A. 12/13
B. 1/12
C. 13/12
D.916
Answers
Answer:
C
Step-by-step explanation:
\(\frac{6}{13}\)÷\(\frac{6}{12}\) can also be \(\frac{6}{13}\)×\(\frac{12}{3}\) and \(\frac{6}{13}\)×\(\frac{12}{3}\)=13/12
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
\frac{6}{13}136 ÷\frac{6}{12}126 can also be \frac{6}{13}136 ×\frac{12}{3}312 and \frac{6}{13}136 ×\frac{12}{3}312 =13/12
145 miles on 6 gallons of gas rate and unit rate plz
Answers
Answer:
24.166667 miles per gallon
Step-by-step explanation:
thats what got
Which goes with which
Answers
Example and Answer Please.Giving Brain
Answers
Answer:
The ones you got wrong, have to have a negative sign...
Step-by-step explanation:
Brainliest here
help please
triangles
Answers
Answer:
i think you have to find the value
Step-by-step explanation:
describe a real-life situation that could be represented by the expression 3+2x6
Answers
Answer:
"Margaret is at a birthday store. She wants to buy 3 candles and 2 balloons. She then realizes that she wants to throw an even bigger surprise party, so she buys 6 fold of her original items. How many candles and balloons did she buy in split amounts?"