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Scrat [10]
3 years ago
11

If the APY of a savings account is 4.7%, and if the principal in the savings account is $4500 for an entire year, what will be t

he balance of the savings account after all the interest is paid for the year?
Mathematics
2 answers:
Nookie1986 [14]3 years ago
7 0
Total = principal * (1 + rate)^1
total = 4,500 * 1.047
total = <span> <span> <span> 4,711.5</span></span></span>0

r-ruslan [8.4K]3 years ago
5 0

Answer:

$4,711.50

Step-by-step explanation:

If the APY of a savings account =  4.7%

Principal amount = $4500

time = 1 year

We use the formula of simple interest

A = P ( 1+rt )

Where, A = maturity amount

            P = Principal amount  ( 4500 )

            r = Rate of interest   4.7/100  or  ( 0.047 )

            t = one year  ( 1 )

A =  4500 ( 1 + 0.047 × 1 )

A = 4500 ( 1.047 )

A = $4,711.50

The balance of the savings account is $4,711.50 after all the interest is paid for the year

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A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t
Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

h=-16t^2+200t

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

350=-16t^2+200t

The last is a quadratic equation, which can be put in the form at^2+bt+c=0 and solved applying the formula:

t=\frac{-b+-\sqrt{b^2-4ac} }{2a}

So, let's put the equation on the form at^2+bt+c=0 adding 16t^2 and subtracting 200t to each side of the equation; the result is:

16t^2-200t+350=0

So, we note that a=16, b=-200, and c=350.

Then,

t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10

t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

4 0
3 years ago
Can you please answer everything. What fraction every letter on their can run in a minute. Reward brainiest answer: 15 points
oksian1 [2.3K]
Student B:
1/2 / 4
= 1/2 x 1/4
= 1/8

student A:
2/3 / 6
= 2/3 x 1/6
= 1/9

student C:
4/5/ 8
= 4/5 x 1/8
= 1/10


answer
student B: 1/8 of a mile per minute
student A: 1/9 of a mile per minute
student C: 1/10 of a mile per minute
8 0
3 years ago
Madison spent 3 times as long on her social project as she did on her other project. If she spent a total of 8 hours on he proje
deff fn [24]

Answer:

6 hours

Step-by-step explanation:

Suppose Madison spent x hours on her social project,

then the number of hours spent on other project will be 1/3 of x=x/3

Total hours spend on all projects will be the addition of hours spent on social project and hour spent on other project, i.e

x + x/3 = 4x/3

It si given that this is 8 hours, therefore

4x/3=8

Multiplying both sides by 3:

4x=24

Dividing across board by 4:

x= 6 hours

5 0
3 years ago
Simplify. (-8n + 11) + (2n -3)
Rasek [7]

Answer:

-6n + 8

Step-by-step explanation:

-8n + 2n = -6n

11 - 3 = 8

Hope this helps :)

4 0
3 years ago
Read 2 more answers
How do you find the whole number from the percentage increase?<br><br><br>(Give an example)
hjlf
Say the percentage increase is 25%. If you have the whole number of 30 then you would multiply 30 by .25. You should therefore get 7.5 once both are multiplied. That means you should add 7.5 to 30, and your final answer will be 37.5.
4 0
3 years ago
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