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Ad libitum [116K]

3 years ago

13

What is the value of 500$ invested at 4% interest compounded annually for 7 years

1 answer:

DiKsa [7]3 years ago

5 0

Answer:

657.96

Step-by-step explanation:

use formula A=P(1+r/n)^nt

A=500(1+.04/1)^1*7

A=500(1.04)^7

A=500(1.3159~)

A= 657.96~

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3 years ago

In Walmart parking, there are 175 vehicles parked joe figures out that 64% of the vehicles are white. How many vehicles are NOT

aksik [14]

Answer:

63 vehicles are not white

Step-by-step explanation:

Well you know that there are 175 total vehicles, and that 64% of those vehicles are white. Therefore the remaining percentage of vehicles must not be white.

100%-64%=36%

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5 0

3 years ago

Read 2 more answers

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

3 years ago

Threatened monarch butterflies are monitored by measuring the area occupied by overwintering butterflies in Mexico. According to

Pani-rosa [81]

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico, monarch butterflies occupied 1.13 hectares one recent winter, and 4.01 hectares the following winter (one year later)

The formula of Geometric growth

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

t = times = 1

=( 4.01/1.13 )^1/1

= 3.5486725664

Hence, Geometric growth rate = 3.5486725664.

It's size in hectares after another 1 year = Current size in hectares × Geometric growth rate

= 4.01 ×3.5486725664

= 14.230176991 hectares

≈ 14.2

6 0

3 years ago