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1 year ago

10

Determine what type of model best fits the given situation: principal p is invested at an annual interest of rate r, compounded

k times a year for t years.

1 answer:

stepladder [879]1 year ago

8 0

The most appropriate model for a given situation is exponential.

<h3>What is compound interest?</h3>

The interest you earn on interest is known as compound interest.
Compound interest is a use of exponential functions. A specific sum is added to the account balance each time money is invested (or lent out). Interest is the amount of money that is added to the balance. The sum will continue to accrue interest after that interest has been added during the subsequent compounding period.
In the settings of investments and savings, compound interest is used. A = P(1 + RT) is the formula for simple interest. The next section contains a definition of the variables. This indicates that the account value is the sum of the initial investment amount multiplied by one and the rate multiplied by the time.

The most appropriate model for a given situation is exponential.

To learn more about compound interest, refer to:

brainly.com/question/24924853

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A moving box has a square base with an area of 324 in². It's height is 24 inches. What is the volume of the moving box?

Roman55 [17]

The volume of the moving box will be 7776 cubic inches,.

<h3>What is the volume of the rectangular prism?</h3>

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L × W × H

V = Base area x height

A moving box has a square base with an area of 324 in².

Its height is 24 inches.

Then the volume of the moving box will be

V = Base area x height

V = 324 x 24

V = 7776 cubic inches

More about the volume of the prism link is given below.

brainly.com/question/16246207

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3 0

1 year ago

Help. Solving Multi Step Ratio Problems!

Romashka-Z-Leto [24]

Answer:

Part 1) $30\ coupons$

Part 2) $12\ sandwiches$

Part 3) $60\ push-ups$

Part 4) $96\ minutes$

Part 5) $\$95$

Part 6) $1\frac{7}{8}\ cups\ of\ pretzel$

Step-by-step explanation:

Part 1) we know that

At the Green House of Salad , you get a $1 coupon for every 3 salads you buy

so

Using proportion

Find out the number of salads you could buy to get $10 in coupons

$\frac{1}{3}=\frac{10}{x} \\\\x=3(10)\\\\x=30\ coupons$

Part 2) we know that

Kim orders catering for $35

She spend $5 on a large order of potato salad and the rest on turkey sandwiches

Each sandwich is $2.50

How many sandwiches does Kim buy?

step 1

Find out how many Kim spent on turkey sandwiches

Subtract $5 from $35

35-5=$30

step 2

Using proportion, find out the number of sandwiches

so

$\frac{1}{2.50}=\frac{x}{30}\\\\x=30/2.50\\\\x= 12\ sandwiches$

Part 3) we know that

Molly does 10 push-ups at the same time as Liza does 15 push-ups

so

Using proportion

Find out how many push-ups Liza does when Molly does 40 push-ups

$\frac{10}{15}=\frac{40}{x}\\\\x=15(40)/10\\\\x=60\ push-ups$

Part 4) we know that

A shark swim at a speed of 25 miles per hour

The shark rest after 40 miles

How long in minutes, does the shark swim before resting?

Using proportion

Find out how long in minutes the shark swim 40 miles

Remember that

$1\ h=60\ min$

$\frac{25}{60}\ \frac{miles}{minutes}=\frac{40}{x}\ \frac{miles}{minutes}\\\\x=60(40)/25\\\\x=96\ minutes$

Part 5) we know that

For every bar of soap that Aly sells, she earns $5

For every mug that Janet sells, she earns twice as much as Aly

Aly sells 5 bars of soap and Janet sells 7 mugs

How much money did they make altogether?

step 1

Find out the amount earned by Aly

using proportion

$\frac{1}{5}=\frac{5}{x}\\\\x=5(5)\\\\x=\$25$

step 2

Find out the amount earned by Janet

Remember that

For every mug that Janet sells, she earns twice as much as Aly

so

For every mug that Janet sells, she earns 2($5)=$10

using proportion

$\frac{1}{10}=\frac{7}{x}\\\\x=10(7)\\\\x=\$70$

step 3

Adds the amount earned by Aly plus the amount earned by Janet

$25+70=\$95$

Part 6) we know that

Ted is making trail mix for a party

He mixes 1 1/2 cups of nuts, 1/4 cup of rising and 1/4 cup of pretzel

How many cups of pretzel does Ted need to make 15 cups of trail mix?

Adds the quantities

$1\frac{1}{2}+\frac{1}{4} +\frac{1}{4}=2\ cups\ of \ trail\ mix$

That means

For every 2 cups of trail mix we need 1/4 cup of pretzel

using proportion

Find out how many cups of pretzel does Ted need to make 15 cups of trail mix

$\frac{2}{(1/4)}=\frac{15}{x}\\\\x=15(1/4)/2\\\\x=\frac{15}{8}\ cups\ of\ pretzel$

Convert to mixed number

$\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\ cups\ of\ pretzel$

6 0

3 years ago

Which problem situation can be represented by the equation below?

olasank [31]

I believe the answer is H,
Karen had a gift card for $150. She bought 3 gifts for her sister. The gifts cost the same amount, X. After paying for the gifts, her card had a balance of $60. How much did each gift cost?

5 0

3 years ago

The difference of the square of a number and 28 is equal to 3 times that number

Pepsi [2]

Answer:

- 4, 7

Step-by-step explanation:

Let the required number be x.

Therefore, according to the given condition:

${x}^{2} - 28 = 3x \\ {x}^{2} - 3x - 28 = 0 \\ {x}^{2} - 7x + 4x - 28 = 0 \\ x(x - 7) + 4(x - 7) = 0 \\ (x - 7)(x + 4) = 0 \\ x - 7 = 0 \: or \: x + 4 = 0 \\ x = 7 \: or \: x = - 4 \\$

5 0

3 years ago

A salesperson earns a commission of $504 for selling 2,800 in merchandise. Find the commission rate. Write your answer as a perc

Zielflug [23.3K]

Answer:

18%

Step-by-step explanation:

$\frac{504}{2800}$ = $\frac{x}{100}$ ----> cross multiply

504(100) = 2800x

50400 = 2800x

$\frac{50400}{2800}$ = $\frac{2800x}{2800}$

18 = x

Commission Rate: 18%

3 0

3 years ago