Cecilia makes travel plans for her trip home from Atlantic City to Williamsburg. She plans to make a 2 hour stop in Baltimore. To predict the time of her trip (t) at an average driving speed (s), she uses the equation below: T=2+ 350/s Find the trip times for the average driving speed of 45,55, and 65 miles per hour.

If sarah starts investing in an individual retirement account (ira) at the age of 30 and earns 10 percent for 35 years. she will get less returns as compared to those returns if she: b. Invests up to the age of 60.

Sarah would have a shorter investment term if she stopped investing at 60 rather than continuing until age 65. The ultimate returns may be significantly impacted by the additional five years of contributions and investment growth.

Sarah would lose out on the potential growth and compounding that may take place during those five years if she stopped investing at the age of 60.

Therefore the correct option is b.

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The complete question:

Sarah starts investing in an individual retirement account (IRA) at the age of 30 and earns 10% for 35 years. At 65, she will get less returns as compared to those returns if she:

Invests at 12 percent.

Starts investing at the age of 25.

Invests up to the age of 60.

Earns 10% for 5 years and then 12% for 30 years.

Invests for 45 years.

The exponent in Sam’s product is -5.

What does a math exponent mean?

Let us first multiply 500 with 3. 625×10-8

3. 625×10-8  × 500 = 1812.5 × 10⁻⁸

Then Sam has reported this answer in scientific notation

The format for writing a number in scientific notation is

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 × 10⁻⁸  we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10³

1812.5 × 10⁻⁸ = 1812.5 × 10⁻⁸ × 10³

1812.5 × 10⁻⁸  = 1812.5 × 10⁻⁵

Exponent is a quantity representing the power to which a given number or expression is to be raised

1812.5 × 10⁻⁵ exponent is -5

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Answer:

10 mi³

Step-by-step explanation:

The are of the base will be (4*3)/2, so 6.

Plug that in to the formula for B.

V = 1/3(6)5 and you should get 10 mi³

Hope this helps.

Answer: 43.4

Step-by-step explanation: if it was dilated by a bigger number than 1 then it’s goin to have a bigger area and in this case it was dilated by

4 2/3 so you multiply the area by 4 2/3 to round your answer to the nearest tenth and u get 43.4

Solution for the equation four fifths times v plus 5 equals three fifths times v minus 6 ,which means (4/5)v+5 = (3/5)v - 6  is v= -55 .

In the question ,

the equation is given as ,(four fifths times v plus 5 equals three fifths times v minus 6) , which means

\(\frac{4}{5} v +5=\frac{3}{5} v-6\)

Combining like terms together and solving we get ,

(4/5)v-(3/5)v = -6-5

Simplifying further we get ,

(1/5)v= -11

v/5 = -11

Multiplying both sides by 5 we get ,

v = -11*5

v= -55

Therefore , the solution for the equation (4/5)v+5 = (3/5)v - 6  is v= -55 .

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Answer:

36

Step-by-step explanation:

180-126=54 Since two angles are supplimentary if they both add up to 180, and 90-54=36 since two angles are complementary if they add up to 90.

(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

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Answer: P=5.2 h=3 B=2

Step-by-step explanation:

To find P, you add everything except for 3 because P starts for perimeter of the bases and 3 is the height of the prism. So P would equal 5.2. Then to get h, it’s just 3 because that’s the height of the prism. Now for B, you just multiply 1x2 because that’s the area of the base and you only need one. If you’re looking for total surface area, the answer is 19.6 becasue the formula is Pxh+2B meaning perimeter x height plus 2 x B. But for lateral, the answer is 15.6 because it’s just Pxh (perimeter x height) hope this helps lol sorry it’s so long.

Answer:it’s a : y= -2x +10

Step-by-step explanation:

I just took the test and sorry I’m late

Step-by-step explanation:

y= -2x +10

Step-by-step explanation:

We can see that the function crosses the x-axis at 3 different places, we have x = 1, x = 4 and x = 6 as our roots.

(Note: x = 6 has a repeated root)

There could be complex roots if we know more about the function, but there must be 3 distinct roots.

The best answer here is option A.

Answer:

Answer is A

Step-by-step explanation:

The probability of a light bulb burning out between 778 and 834 hours is approximately 51.4%, indicating a significant likelihood of burn-out within that time frame.

The probability is found by standardizing the values using the mean (800) and standard deviation (40) of the normal distribution representing bulb life. By calculating the z-scores for 778 and 834 hours and finding the area between these z-scores, we determine the probability.

A z-score of -0.55 corresponds to 778 hours, while a z-score of 0.85 corresponds to 834 hours.

Using a standard normal distribution table or calculator, the area between these z-scores is approximately 0.514, which translates to a probability of 51.4%.

This means there is a relatively high chance that a bulb will burn out within the specified time range, given the normal distribution characteristics of bulb life.

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Answer:

x = 9 3/13 cm

Step-by-step explanation:

area = (length)( width)

20 cm² = (x)(2 1/6 cm)

x = 20 cm²/2 1/6 cm = (20)/(13/6) = (20)(6/13)

x = 9 3/13 cm

Area = 20 cm²

Breadth = 13÷6

Length = x

Area = l × b

20 = l × 13÷6

Therefore: l = 20 × 6 ÷ 13

                 l = 9 3/13

Therefore x in the figure = 9 3/13

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The unit will cover linear functions, quadratic functions, exponential functions, logarithmic functions, and matrices.

We have,

Based on the topics, the unit will cover the following topics:

Linear functions: This topic typically includes concepts such as slope, intercepts, equations of lines, and graphing linear functions.

Quadratic functions: This topic covers quadratic equations, factoring, completing the square, quadratic formula, vertex form, and graphing parabolas.

Exponential functions: This topic involves exponential equations, growth and decay, properties of exponential functions, and their graphs.

Logarithmic functions: This topic focuses on logarithmic equations, properties of logarithms, solving logarithmic equations, and the relationship between exponential and logarithmic functions.

Matrices: Matrices are a topic in linear algebra and involve operations on matrices, matrix multiplication, determinants, inverse matrices, and solving systems of linear equations using matrices.

It's important to note that the exact content and depth of each topic may vary depending on the specific curriculum or course.

However, the mentioned topics generally form the core concepts of a unit covering functions, algebra, and matrices.

Thus,

The unit will cover linear functions, quadratic functions, exponential functions, logarithmic functions, and matrices.

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The shopper bought a watermelon costing $4.45.

Let x represent the cost of watermelon

y = cost of napkin + cost of paper plates

The tax rate on non-food items is 5%, hence:

5% of y = 0.19

0.05y = 0.19

y = $3.8

The total for the three items he bought was $8.25 before tax,

x + y = 8.25

x + 3.80 = 8.25

x = 4.45

The shopper bought a watermelon costing $4.45.

A tax is a compulsory monetary charge or a few other sorts of levy imposed on a taxpayer (a man or woman or criminal entity) by using a governmental agency if you want to fund authorities' spending and numerous public expenses (regional, neighborhood, or countrywide), and tax compliance refers to coverage movements and character behavior geared toward making sure that taxpayers are paying the right amount of tax on the proper time and securing the right tax allowances and tax reliefs. the first known taxation passed off in historical Egypt around 3000–2800 BC. A failure to pay in a well-timed way (non-compliance), together with evasion of or resistance to taxation, is punishable by means of regulation. Taxes consist of direct or oblique taxes and may be paid in cash or as its labor equivalent.

Maximum nations have a tax system in the region, so as to pay for public, common societal, or agreed-on country-wide needs and for the capabilities of the presidency. a few levies a flat percentage rate of taxation on private annual profits, however, maximum scale taxes are modern and based on brackets of annual earnings amounts. most nations charge a tax on a character's profits as well as on corporate earnings. nations or subunits regularly additionally impose wealth taxes, inheritance taxes, estate taxes, gift taxes, property taxes, sales taxes, use taxes, payroll taxes, duties, and/or tariffs.

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If the alternate hypothesis states that µ does not equal 4,000, then the rejection region for the hypothesis test would be both tails. Therefore the Option A is the answer.

This means that if the sample mean falls within a certain range of values in both tails of the distribution, we would reject the null hypothesis and conclude that the population mean is not equal to 4,000.

The exact boundaries of the rejection region would depend on the significance level and the sample size. But in general, if we use a two-tailed test with a significance level of α, the rejection region would be the two tails of the distribution that contain the α/2 area.

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Answer:

A TRAPEZOID!!

Step-by-step explanation:

Answer:

Trapezoids have only one pair of parallel sides

Step-by-step explanation:

Possible combinations = 5C2 = 5 * 4 / 1 * 2 = 10.

Unamortized bond premium  is $49,411.

Bonds are a type of long-term debt that businesses employ to raise cash. Bond buyers receive interest payments as returns on their investment. Investors receive interest at the bond's specified interest rate. Periodically or on the note's due date, interest might be paid.

Premium on bond issued = Issue price - Face value of bond.

=> $300,411 - $251,000 = $49,411  

=>Debit Credit Cash $300,411

Unamortized bond premium is $49,411

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The unamortized bond premium is $49,411.

Bonds are a type of long-term debt that businesses employ to raise cash. Bond buyers receive interest payments as returns on their investments. Investors receive interest at the bond's specified interest rate. Periodically or on the note's due date, interest might be paid.

Premium on a bond issued = Issue price - Face value of the bond.

=> $300,411 - $251,000 = $49,411  

=>Debit Credit Cash $300,411

The unamortized bond premium is $49,411

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Answer:

Scale is every 1 inch on the blueprint is 2 inches scaled In reality

Step-by-step explanation:

7/3.5=2

so 2 inches for every 1 inche in the scale

Answer:

1:2

Step-by-step explanation:

7/3.5=2

=1:2

The approximate solutions to the equation is (0.655, -2.618)

From the question, we have the following parameters that can be used in our computation:

-2x

|-3 + 1| =

-2√x - 1

Express the equation properly

So, we have the following representation

-2x|-3 + 1| = -2√x - 1

This gives

-4x = -2√x - 1

Next, we split the equation

y = -4x

y = -2√x - 1

To solve graphically, we plot the equation and write out the point of intersection

Hence, the solution is (0.655, -2.618)

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The area of the surface is (2/3)π.

We can solve this problem using a double integral. First, we need to find the limits of integration for x and y. From the equation x + y + z = 1, we get:

z = 1 - x - y

Substituting this into the equation x² + 7y² ≤ 1, we get:

x² + 7y² ≤ 1 - z² + 2xz + 2yz

Since we want to find the area of the surface, we need to integrate over x and y for each value of z that satisfies this inequality. The limits of integration for x and y are given by the ellipse x² + 7y² ≤ 1 - z² + 2xz + 2yz, so we can write:

∫∫[x² + 7y² ≤ 1 - z² + 2xz + 2yz] dA

where dA is the area element.

To evaluate this integral, we can change to elliptical coordinates u and v, defined by:

x = √(1 - z²) cos u

y = 1/√7 √(1 - z²) sin u

z = v

The limits of integration for u and v are:

0 ≤ u ≤ 2π

-1 ≤ v ≤ 1

The Jacobian for this transformation is:

J = √(1 - z²)/√7

So the integral becomes:

∫∫[u,v] (x² + 7y² )J du dv

Substituting in the values for x, y, z, and J, we get:

∫∫[u,v] [(1 - z²) cos² u + 7/7 (1 - z²) sin² u] √(1 - z²)/√7 du dv

Simplifying, we get:

∫∫[u,v] [(1 - z²) (cos² u + sin² u)] (1/√7) dz du dv

= ∫∫[u,v] [(1 - z²)/√7] dz du dv

= (2/3)π

Therefore, the area of the surface defined by x + y + z = 1, x² + 7y² ≤ 1 is (2/3)π.

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Explaination:

Put a dot where all 4 lines meet (the + in the center). Go down one cube from there, then go right two (put a dot at the place you stop on). Now, go back to the center of the graph. Go up one, and then left two (make another dot here at the place yo ended on). Then, make a straight line that touches the two points nicely, and going straight through the center. Put arrows at each end of the line. I hope this helped!

It is impossible to give a value for f(-1) because -1 is not in the domain of the function f.

It is given in the question that function f(x) is defined by the set of coordinate pairs {(-3,8),(2,5),(7,-1),(11,3)}.

Here, the ordered pair (a,b) represents (x ,f(x))

Which means:-

f(-3) = 8 , f(2) = 5, f(7) = -1, f(11) = 3.

Here, the elements of domain are -3, 5, -1 and, 3 and the elements of range are 8, 5, -1 and, 3.

We cannot find the value of f(-1) because -1 is not present in the domain of the function.

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Answer:

a.  rate to empty the tank = - 2/3 gal/min

b,  7.5 min to empty the tank

c.  4.5 min.

Step-by-step explanation:

I use the formula that the work done = rate of work times the time working = W = rt

The work in this problem is emptying the tank.  

a.  The rate to empty the tank is -2 gal/3 min or - 2/3 gal/min

b.   5/(2/3) = 15/2 = 7.5 min to empty the tank

c.    Since 3 gal. had already drained, 3/(2/3) = 9/2 = 4.5 min.

First, we have to find the percent that went to social issue on saturday

So, with this we can calculate the Sunday amount

399 people are expected to go to Social Issues

Answer:

number 2: (-6, 0)

Answer:

its 10 with the remainder of 38

Step-by-step explanation:

The result of the division is remainder = 38 and quotient = 10

Division is the opposite of multiplying. When we know a multiplication fact, we can find a division fact: Example: 3 × 5 = 15, so 15 / 5 = 3. Also, 15 / 3 = 5.

Given that, 708 divided by 67

When dividing 708 by 67 will get 10 as quotient and 38 remainder

Hence, the result of the division is remainder = 38 and quotient = 10

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