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2 years ago

If you deposit $100 at 8% interest, how much will you have after one year?

Mathematics

1 answer:

Lorico [155]2 years ago

8 0

8% of 100 is 8, so add that to your initial deposit and you will have $108 after one year.

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As a promotion, a clothing store draws the name of one of its customers each week. The prize is a coupon for the store. If the w

kompoz [17]

The given formula is f(x) = 20(1.2)^x

The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.

A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)

B) the original amount is $20

C) for 2 weeks, replace x with 2 and solve:

20(1.2)^2

20(1.44) = $28.80

After 2 weeks the coupon is $28.80

D) To solve for the number of weeks (x) set the equation equal to $100:

100 = 20(1.2)^x

Divide both sides by 20:

5 = 1.2^x

Take the natural logarithm of both sides:

ln(5) = ln(1.2^x)

Use the logarithm rule to remove the exponent:

ln(5) = x ln(1.2)

Divide both sides by ln(1.2)

x = ln(5) / ln(1.2)

Divide:

X = 8.83

At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100

The answer is 9 weeks.

4 0

3 years ago

What's one tenth of 300

brilliants [131]

30 is your mystery answer :)

7 0

3 years ago

Read 2 more answers

The sum of 2 consecutive integers is -33.If n is the first integer,which equation best models the situation?

monitta

Answer:

You can choose which equation below suits your taste but I recommend the 2n + 1 = -33.

Step-by-step explanation:

$(n) + (n + 1) = - 33 \\ 2n + 1 = - 33 \\ 2n = - 32 \\ n = - 16$

5 0

3 years ago

Please Help, I can't figure out this problem

Otrada [13]

Answer:

<h2>The answer is 5 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (9,-7) and (5, -4)

The distance between them is

$d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25}$

We have the final answer as

<h3>5 units</h3>

Hope this helps you

3 0

2 years ago

I need help show work<br> ill mark brainliest

Archy [21]

Answer:

The population will be 896 turtles 6 years later ⇒ B

Step-by-step explanation:

The exponential increasing formula is y = a $(1+r)^{x}$ , where

y is the new value

a is the initial value

r is the rate of increase in decimal

x is the time in years

∵ There are 300 turtles

∴ a = 300

∵ The population of the turtles exponentially increases 20% each year

∴ r = 20%

→ Divide it by 100 to change it to decimal

∵ 20% = 20 ÷ 100 = 0.2

∴ r = 0.2

∵ The time is 6 years

∴ x = 6

→ Substitute these values in the exponential formula above

∵ y = 300 $(1+0.2)^{6}$

∴ y = 300 $(1.2)^{6}$

∴ y = 895.7952

→ Round it to the nearest whole number

∴ y = 896

∴ The population will be 896 turtles 6 years later

7 0

2 years ago