Whath percentage of 1m is 76cm

Question 13

charle [14.2K]

The amount to be invested today so as to have $12,500 in 12 years is $6,480.37.

The amount that would be in my account in 13 years is $44,707.37.

The amount I need to deposit now is $546.64.

<h3>How much should be invested today?</h3>

The amount to be invested today = future value / (1 + r)^nm

Where:

r = interest rate = 5.5 / 365 = 0.015%
m = number of compounding = 365
n = number of years = 12

12500 / (1.00015)^(12 x 365) = $6,480.37

<h3>What is the future value of the account at the end of 13 years?</h3>

Future value = monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate = 5.3 / 12 = 0.44%
n = 13 x 12 = 156

200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37

<h3>What should be the monthly deposit?</h3>

Monthly deposit = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = 6.7 / 12 = 0.56%
n = 2 x 12 = 24

$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64

To learn more about annuities, please check: brainly.com/question/24108530

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4 0

2 years ago

The function f(t) = 3(1 + 0.5)^nt models the weight in pounds of an alligator each year from its birth. Based on the function, w

masha68 [24]

<h2>Hello!</h2>

The answer is: 50% (0.5)

Exponential growth equations are use to predict the growth (in function of time) using proportional information.

We can calculate the exponential growth using the following formula:

$y=S(1+r)^{t}$

Where,

S, is the starting value

r, is the growth rate

t, is the time

So, we are given the function:

$f(t) = 3(1 + 0.5)^{nt}$

Where,

f(t), is the function,

3, is the starting value (lb)

0.5 (50%) is the growth rate

nt, is the time elapsed.

Hence,

From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.

We can turn the growth rate given in real numbers to percent value by multiplying by 100

$GrowthRate(Percentage)=0.5*100=50(Percent)$

So, the growth rate is 50%.

Have a nice day!

5 0

3 years ago

Plz help me well mark brainliest if correct....?

Brrunno [24]

Answer: 6

Step-by-step explanation:

6 0

3 years ago

Divide 28 cans of soda into two groups so the ratio is 3 to 4.

Debora [2.8K]

<span><u><em>Answer:</em></u>
The first group would have <u>12 cans</u>
The second group would have <u>16 cans</u>

<u><em>Explanation:</em></u>
We know that the total number of cans in 28 and that the ratio between the two groups is 3:4

<u>This means that:</u>
If the first group has 3x cans, then the second group would have 4x cans.

<u>Now, we would solve for x:</u>
3x + 4x = 28
7x = 28
x = </span> $\frac{28}{7}$ <span>
x = 4 cans

<u><em>Therefore:</em></u>
The first group would have 3x = 3(4) = 12 cans
The second group would have 4x = 4(4) = 16 cans

Hope this helps :)</span>

5 0

3 years ago

X2+4x+3 solve for x.

mario62 [17]

Answer:

(x+1)(x+3)

Step-by-step explanation:

Let's factor x^2+4x+3

x^2+4x+3

The middle number is 4 and the last number is 3.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 4

Multiply together to get 3

Can you think of the two numbers?

Try 1 and 3:

1+3 = 4

1*3 = 3

Fill in the blanks in

(x+_)(x+_)

with 1 and 3 to get...

(x+1)(x+3)

4 0

2 years ago