Answer:
......................
16+x
Money is put into two accounts. Account A earns 3.5% interest annually, and account B ears 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?
Answer:
The total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.
Step-by-step explanation:
After 6 years, the total interest earned on account A would be:
Interest = Principal x Rate x Time
Interest = $10,000 x 0.035 x 6
Interest = $2,100
The total interest earned on account B would be:
Interest = Principal x Rate x Time
Interest = $10,000 x 0.026 x 6
Interest = $1,560
Therefore, the total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.
Write an equation in slope-intercept form for a line that passes through the two points (-2,-5) and (-4,3). Show your work.
Answer:
y = -4x - 13
Step-by-step explanation:
Use point - slope form to convert to y = mx + b form
1. Find the slope using y2 - y1 / x2 - x1
3 + 5 / -4 + 2
m = -4
2. Plug into point - slope form: y - y1 = m (x - x1)
y + 5 = -4 (x + 2)
Distribute
y + 5 = -4x - 8
Subtract 5 from both sides
y = -4x - 13
The prism below is made of cubes which measure 1/2 of a centimeter on one side. What is the volume?
Answer: A
Step-by-step explanation:
You multiply 5*3*3
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
A rectangular prism measures 4 ½ inches long, 6 ½ inches wide, and 2 ½ high. How many cubes with side length of ½ inch are needed to fill the prism?
Answer:
it's a volume question
Explanation:
First, find the volume of the small shape.
(
1
4
×
1
4
×
1
4
)
=
1
64
Then, divide the volume of the bigger shape.
(
4.1
2
×
5
×
3.3
4
)
=
675
8
Finally, divide the big shape volume by the small shape volume.
(
675
8
÷
1
64
)
=
5400
Smaller shapes will fit into bigger shapes.
Step-by-step explanation:
Lauren bought work pants for a total of $94.24. If each pair of pants cost $23.56, how many pairs of pants did she buy?
Answer:
4 pairs of pants
Step-by-step explanation:
divide 94.24 by 23.56 and you will get 4 :)
Answer:
She bought 4
Step-by-step explanation:
$94.24÷$23.56=4
Help me please il give 20 points!
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
2+2x2-2+2 divided by 2x2-2+2+2+2
Answer:
2+2x2-2+2=6
2x2-2+2+2+2=8
6+8=14
Answer:
10
2+2x2-2+2=6. 2x2-2+2+2+2=8
=14
can yall pls help me with this, pls try to explain it in steps, ty!
Answer: it MIGHT be c cuz it goes down FASST then slows down a bit on the loop the fast cuz its gong down and then slows a bit
Step-by-step explanation:
==========================================================
Explanation:
At first the car isn't moving at all. This is at time 0. So this means the graph starts at the origin (0,0). Based on this alone, the answer is either choice B or choice C.
We can rule out choice C because the rates of change won't be constant to give those sharp straight lines. Instead, we have a gradual shift in speeds as the roller coaster progresses. So we'll have more of a curved shape as choice B shows.
Note that each time the car is going downhill, the speed goes up. On the flip side, as the car goes uphill, the speed goes down. So the direction of movement runs counter to the speed graph direction (one goes up, the other goes down).
Can someone please help me
Answer:
Two more than eight times a number is the same as 13 less than three times the number. What is the number? (Fourth option)
Step-by-step explanation:
The first option tells us 2(8+x) = 3x -13, which is incorrect.
The second option tells us 8*2 + x = 3x - 13, which is incorrect.
The third option could be tempting to choose, but it said said 3 times the difference of x and 13, but that would mean 3(x-13) which would give us 3x -39. Therefore, C is incorrect.
The fourth option tells us that 8x +2 = 3x -13, which would make sense. Therefore, D is correct.
Last summer, Jesse’s family drove to visit his grandmother. Jesse kept track of how far they drove each day. Monday: 242 mi. Tuesday: 324 mi. Wednesday: 212 mi. Thursday: 363 mi. Friday: 132 mi.
Use front-end estimation to find a reasonable estimate of the total distance Jesse’s family traveled.
A) 1000 mi.
B) 1100 mi.
C) 1200 mi.
D) 1300.
The correct option is C 1200 mi. A reasonable estimate of the total distance Jesse's family traveled is 1200 mi.
Front-end estimation involves rounding numbers to the nearest place value and then performing calculations. Round each day's distance to the nearest hundred to simplify calculations.
Round each day's distance: Monday 200, Tuesday 300, Wednesday 200, Thursday 400, Friday 100.
Add the rounded distances:
200 + 300 + 200 + 400 + 100 = 1200.
The estimate of the total distance traveled is 1200 miles, which matches option C.
Front-end estimation is a quick method for approximate calculations, especially when precise values are not required.
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A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Answer Parts A and B.
A. To what percent of its capacity is the large container filled?
B. Some liquid will be poured from a full 16-ounce container until it is filled to the same percent of its capacity as the large container in part a. How many ounces of liquid must be poured from the full 16-ounce container? Explain.
Jim bought 5 packs of red bouncy balls, 2 packs of yellow bouncy balls, and 7 packs of green bouncy balls. There were 7 bouncy balls in each package. How many bouncy balls did Jim buy in all?
Answer:
108 bouncy balls
Step-by-step explanation:
2*7=14
5*7=35
7*7=49
14+35+49+108
You flip a coin 8 times and get heads 6 times. so the probability is 6/8
Answer:
yes
Step-by-step explanation:
yes
find the value of x in the equation without evaluating the power
Answer:
4
Step-by-step explanation:
Here's my method of doing this:
We'll be using logarithms
Our question is:
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \(\frac{1}{729}\)
If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — \(\frac{1}{3}\))
we need to figure out what power of a \(\frac{1}{3}\) the \(\frac{1}{729}\) is.
what we can do is the following:
\((\frac{1}{3})^?\) = \(\frac{1}{729}\)
\(3^?\) = 729
If we take the "log" of each, we can find out what power of 3 gives 729.\(log(3^?) = log\ 729\)
We must remember this rule: \(log(a^n) = n \times log(a)\)
\(? \times log 3 = log 729\)
\(? = \frac{log\ 729}{log\ 3}\)
? = 6 (with a calculator)
This means that to get 729, we need to do \(3^6\)
Therefore \((\frac{1}{3})^6 = \frac{1}{729}\)
We can now solve the equation!
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \(\frac{1}{729}\)
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \((\frac{1}{3})^6\)
Since each term of our equation has the same base of \(\frac{1}{3}\) we can ignore it and just deal with the powers!
We must remember this rule: \(x^a \times x^b = x^{a + b}\)
Using this rule:
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \((\frac{1}{3})^6\) becomes...
\(2 + x = 6\)
\(x = 6 - 2 = 4\)
please help 40 POINTS
Answer:
1 / 8 ÷ 3 = 1 / 24
3 ÷ 1 / 8 = 24
Step-by-step explanation:
1 / 8 ÷ 3
= ( 1 / 8 ) / 3
= 1 / ( 8 x 3 )
= 1 / 24
3 ÷ 1 / 8
= 3 / ( 1 / 8 )
= ( 3 x 8 ) / 1
= 24
Please helpp!! Ty ty!♡♡
Answer:
25
Step-by-step explanation:
4a +12 -2c + c
4( ) + 12 - 2( ) + ( )
4(4) + 12 - 2(3) + 3
16 + 12 - 6 + 3
28 - 6 + 3
22 + 3
25
Helping in the name of Jesus.
Therefore, 4a + 12 - 2c + c = 25
Step-by-step explanation:a = 4
c = 3
Swap letters for numbers:4a + 12 - 2c + c
(4)(4) + 12 - (2)(3) + 3
16 + 12 - (2)(3) + 3
28 - (2)(3) + 3
28 - 6 + 3
22 + 3 = 25
Draw a conclusion:
Hence your answer is:4a + 12 - 2c + c = 25
I hope this helps!
A Stegosaurus eats six and two fifths big leaves for breakfast and three and one fifth big leaves for lunch. How many leaves did the Stegosaurus eat in all?
Answer:
9 and 3/5
Step-by-step explanation:
Nine and Three Fifths
Which sign makes the statement true?
5.7 x \(10^{2}\) 5,700,000,000,000
Please help me quickly!!
Answer:
<
Step-by-step explanation:
the exponent will tell you how many places u need to move the decimal. 5.7 × 10 to the 2nd power = 570. u moved the decimal 2 places to the right.
Steel sheeting costs 2¢ per square inch. How much will David spend to build the model out of steel? Write your answer as a dollar amount.
A right triangle has a leg measuring 24 units. Which of these statements are correct?
Select all that apply. Pick up to 2 answers.
1. If the length of the hypotenuse is 26 units, the length of the other leg is 100 units
2. If the length of the hypotenuse is 25 units, the length of the other leg is 7 units.
3. If the length of the hypotenuse is 30 units, the length of the other leg is 18 units.
4. If the length of the hypotenuse is 28 units, the length of the other leg is 14 units.
Answer:
1 and 4
Step-by-step explanation:
Answer:
19.7 ft
Step-by-step explanation:
This problem is solved using the Pythagorean theorem (a2+b2=c2). In this formula a and b are the legs of the right triangle while c is the hypotenuse.
Using the labels of our triangle we have:
o2+a2=h2
\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}
h2=100ft2+289ft2
h=389ft2−−−−−√
→19.7ft
Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).
Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.
The instructions that you would include in your explanation are:
Identify the output.
Create a table for four input values.
Plot the points from the table.
The instructions to be includedIn the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.
Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.
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Answer:1 to 2
2 to 4
Step-by-step explanation:
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
Explanations for all
Step-by-step explanation:
16. 339
19. 1,026.
21. 512.71
22. 2,370
24. 208.8288
theres some answers! hope that helps.
16. 339
19. 1,026.
21. 512.71
22. 2,370
24. 208.8288
Answer both parts in order:
A.
A restaurant uses c cups of flour for baking rolls and 12 cups of flour for baking pies each day. Use the Distributive Property to write an expression for how much flour the restaurant uses in seven days.
B.
Simplify the expression from A using the Distributive Property.
Answer:
(7 x 12) + (c x 7)
Step-by-step explanation:
assuming c = x all I did was multiply the total cups of flour by 7 (7 days in a week. I did that both times.
7(12 + c)
A gardener uses a total of gallons of gasoline in one month. Of the total amount
of gasoline, was used in his lawn mowers. How many gallons of gasoline did the
gardener use his lawn mowers in one month?
Answer:
D. 36.9
Explanation:
three-fifths of 61.5 is 36.9!
Answer:
D. 36.9
Step-by-step explanation:
The total amount of gallons the gardener typically uses in a month is 61.5 gallons. Since the gardener used 3/5 gallons, we know that 5/5 is 61.5 gallons. So you would have to divide 61.5 by 5 in order to get 1/5 of the gallons which would be 12.3. Then you have to multiply the 12.3 by 3 in order to get 3/5 of how much the gardener used which is 39.9 gallons. I hope this helped!
Here is the question
Sam has saved 200 sand dollars and wants to give them away equally to n friends. Write an expression to show how many sand dollars each of Sam's friends will receive.
wht is the answer to this answer. what is a kilogram and milgram's
Answer:
a kilogram = 1000 grams
milgram = 0,001 grams
Answer:
um its Review the size of grams and kilograms and how to convert between the two. Then, try some practice problems.
Step-by-step explanation:
Pls help this is due tomorrow morning and it's 1 am I'll mark brainliest 15 points each
Answer:
263.76
Step-by-step explanation:
2×3.14×3² + 2×3.14×2×11 = 263.76