Multiply: 4x ^3sqrt 4x^2 (2 ^3sqrt 32x^2 * x ^3sqrt 2x)

How much would you need to deposit in an account each month in order to have $40,000 in the account in 8 years? Assume the accou

kolbaska11 [484]

Answer:

Step-by-step explanation:

<h3>$40000 = amount after 8 years </h3><h3>time = 8 years </h3><h3>interest = 3%</h3><h3>principle amount = ?? ( p )</h3><h3>$40000 = (( p ) × 3 × 8 )÷100</h3><h3>p = (40000 × 100) ÷ ( 3 × 8 )</h3><h3>p = $166666.67</h3>

<h2>MARK ME AS BRAINLIST</h2>

5 0

3 years ago

write equation that has base of 3 stretched vertically by factor of 2/3 reflected in y axis, asymptote of y=2 and passes through

madam [21]

The exponential equation is $y = \frac23(3)^{-x+0.74} + 2$

<h3>How to determine the equation?</h3>

An exponential function is represented as:

$y = b^x$

The base is 3.

So, we have:

$y = 3^x$

It is stretched vertically by 2/3.

So, we have:

$y = \frac23(3)^x$

When reflected over the y-axis, we have:

$y = \frac23(3)^{-x}$

An asymptote of y = 2, makes the function becomes

$y = \frac23(3)^{-x} + 2$

Lastly, it passes through the point (0, 3.5).

So, we have:

$y = \frac23(3)^{-x+h} + 2$

This gives

$3.5 = \frac23(3)^{-0+h} + 2$

$3.5 = \frac23(3)^{h} + 2$

Subtract 2 from both sides

$1.5 = \frac23(3)^{h}$

Multiply by 3/2

$2.25 = (3)^{h}$

Take the logarithm of both sides

log(2.25) = h * log(3)

Solve for h

h = 0.74

Substitute h = 0.74 in $y = \frac23(3)^{-x+h} + 2$

$y = \frac23(3)^{-x+0.74} + 2$

Hence, the exponential equation is $y = \frac23(3)^{-x+0.74} + 2$

Read more about exponential equation at

brainly.com/question/23729449

#SPJ1

3 0

2 years ago

75 girls at a summer camp were asked to complete a survey about their favorite outdoor activity. 27 girls chose swimming and 32

vekshin1

There are 27 girls swimming, and (27+33) girls are survey participants.

so the percentage should be 27÷( 27+33)=45%

3 0

3 years ago

Read 2 more answers

Help me please I will mark brainliest if it will let me ‼️To attend Pennsylvania state university the cost per credit is $157 an

Snowcat [4.5K]

The yearly cost for a student who took 32 credits is $5242

Step-by-step explanation:

To attend Pennsylvania state university you must pay

$157 the cost per credit
$218 the yearly fees

We need to find the yearly cost for a student who took 32 credits

Assume that the number of credits is x

∵ The cost per credit = $157

∵ The number of credits = x

∵ The yearly fees = $218

- Put them in a linear equation

∴ The yearly cost = 157 x + 218

∵ The number of credits = 32

∴ x = 32

- Substitute the value of x in the equation below

∵ The yearly cost = 157 x + 218

∴ The yearly cost = 157(32) + 218

∴ The yearly cost = 5024 + 218

∴ The yearly cost = $5242

The yearly cost for a student who took 32 credits is $5242

Learn more;

You can learn more about the word problems in brainly.com/question/10557938

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6 0

3 years ago

35 POINTS & WILL MARK BRAINLIEST!!!!!! PLEASE HELP

kakasveta [241]

The answer to this question is D done functions before.

8 0

4 years ago