All categories

2 years ago

Please help answer ASAP

Mathematics

2 answers:

sweet-ann [11.9K]2 years ago

6 0

0.77875...

which, I'm assuming, they want you to round to the nearest hundredth? So, .78?...

Ksju [112]2 years ago

6 0

First of all, we need to do the expression in parenthesis first.

(4% - 2.25%) = 1.75%

Now, we convert the percent into an integer.

1.75% = 0.0175

Then, we multiply 44.5 by 0.0175

and we get 0.77875.

We have to round the number to the nearest cent.

0.77875 is roughly 0.78

So the answer is $0.78.

You might be interested in

If officer brimberry wrote 16 tickets for traffic violations last week but only 10 tickets this week what is the percent decreas

melamori03 [73]

I believe this is right..

10/16= x/100
x=62.5%
100%- 62.5%= 37.5%

5 0

2 years ago

Write 900,000+80,000+500+7 in standard form

Gnoma [55]

900,000+80,000+500+7 is 980,507

4 0

3 years ago

Read 2 more answers

4 - 7x=39 find the value of x +1

wel

4-7x= 39

Subtract 4 from both sides
-7x= 35

Divide both sides by -7
x= -5

The value of x+1= (-5)+1= -4.

3 0

3 years ago

A nest of ants has been growing exponentially in such a way that it's population,P, as a function increasing on average more or

ivolga24 [154]

Not sure question is complete, assumptions however

Answer and explanation:

Given the above, the function of the population of the ants can be modelled thus:

P(x)= 1600x

Where x is the number of weeks and assuming exponential growth 1600 is constant for each week

Assuming average number of ants in week 1,2,3 and 4 are given by 1545,1520,1620 and 1630 respectively, then we would round these numbers to the nearest tenth to get 1500, 1500, 1600 and 1600 respectively. In this case the function above wouldn't apply, as growth values vary for each week and would have to be added without using the function.

On one hand, the function above could be used as an estimate given that 1600 is the average growth of the ants per week hence a reasonable estimate of total ants in x weeks can be made using the function.

7 0

3 years ago

George is considering two different investment options. The first option offers 7.4% per year simple interest on the

jok3333 [9.3K]

Answer:

Part A: The value of the simple interest investment at the end of three years is $12,220

Part B: The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C: The simple interest investment is better over the first three years

Part D: I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Step-by-step explanation:

Part A:

A = P + P r t, where

A represents the value of the investment
P represents the original amount
r represents the rate in decimal
t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ First option offers 7.4% per year simple interest

∴ r = 7.4% = 7.4 ÷ 100 = 0.074

∵ He may not withdraw any of the money for three years after

the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ A = 10,000 + 10,000(0.074)(3)

∴ A = 10,000 + 2,220

∴ A = 12,220

The value of the simple interest investment at the end of three years is $12,220

Part B:

$A=P(1+\frac{r}{n})^{nt}$ , where

A represents the value of the investment
P represents the original amount
r represents the rate in decimal
n is a number of periods of a year
t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ The second option offers a 6.5% interest rate compounded quarterly

∴ r = 6.5% = 6.5 ÷ 100 = 0.065

∴ n = 4 ⇒ quarterly

∵ He may not withdraw any of the money for three years after

the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ $A=10,000(1+\frac{0.065}{4})^{(4)(3)}$

∴ $A=10,000(1.01625)^{12}$

∴ A = 12,134.08

The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C:

∵ 12,220 > 12,134.08

∴ The simplest interest investment is better than the compounded

interest investment at the end of three years

The simple interest investment is better over the first three years

Part D:

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Look to the attached graph below

The red line represents the simple interest investment
The blue curve represents the compounded interest investment
(Each 1 unit in the vertical axis represents $1000)
After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest
After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

4 0

3 years ago