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3 years ago

780 at 5.25 for 10 months what is the amount of simple interest

Mathematics

1 answer:

Annette [7]3 years ago

5 0

Answer:

$814.13

Step-by-step explanation:

Recall that the simple interest formula is a=p(1+rt).

a= final amount (Unknown)

p=starting amount ($780)

r= interest rate (5.25= 0.0525%)

t=time in years (10 months =5/6 years)

Plug numbers into formula:

a=780(1+5.25*5/6)

Solve parenthesis first according to PEMDAS:

a=780(1.04375)

Multiply:

814.125

Round to nearest hundredth (cent):

$814.13

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The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the

Scilla [17]

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0 ⇒

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

Since, the width cannot be a negative number, the width of the field is 120 feet.

6 0

3 years ago

Read 2 more answers

F(x)=4x+1 g(x)=−4x−1 Write g in terms of f

Assoli18 [71]

Answer:

i think that the answers is -16x + 5

4 0

3 years ago

d(t)=750t/(t+12) where t is the age in years and d is the dosage. what is an expression for the rate of change of a child's dosa

Maksim231197 [3]

This just wants the derivative which you can solve for.
You can do this using a negative expononet or using ...the rational rule forget its name*.... you shoudl get 9000/(t+12)^2

*Quotient rule

3 0

3 years ago

The weights of five grapefruits are 7 47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. Using the

gulaghasi [49]

Answer:

The approximate total weight of the grapefruits, using the clustering estimation technique is B. 35 ounces.

Step-by-step explanation:

We notice that the weights of the grapefruits given are slightly down or above 7, then we will use 7 as our cluster for the estimation, as follows:

Weights

7.47 ⇒ 7

7.23 ⇒ 7

6.46 ⇒ 7

7.48 ⇒ 7

6.81 ⇒ 7

Now we can add up 7 + 7 + 7 + 7 + 7 for the weights of the grapefruits and the approximate total weight is B. 35 ounces.

8 0

3 years ago

Read 2 more answers

Please help me out guys. The photo will show you what to do. 50 points cause I need it done fast

Nonamiya [84]

Answer:

a) starting height: 5.5 ft

b) hang time: 5.562 seconds

c) maximum height: 126.5 ft

d) time to maximum height: 2.75 seconds

Step-by-step explanation:

a) The starting height is the height at t=0.

h(0) = -16·0 +88·0 +5.5

h(0) = 5.5

The starting height is 5.5 feet.

b) The ball is in the air between t=0 and the non-zero time when h(t) = 0. We can find the latter by solving ...

-16t^2 + 8t +5.5 = 0

t^2 -(11/2)t = 5.5/16 . . . . . subtract 5.5, then divide by -16

t^2 -(11/2)t +(11/4)^2 = (5.5/16) +(11/4)^2 . . . . complete the square

(t -11/4)^2 = 126.5/16 . . . . . . . . . . . . . . . . . . . . call this [eq1] for later use

t -11/4 = √7.90625

t = 2.75 +√7.90625 ≈ 5.562

The ball will be in the air about 5.562 seconds.

c) If we multiply [eq1] above by -16 and add the constant on the right, we get the vertex form of the height equation:

h(t) = -16(t -11/4) +126.5

The vertex at (2.75, 126.5) tells us ...

The maximum height of the ball is 126.5 feet.

d) That same vertex point tells us ...

The maximum height will be reached at t = 2.75 seconds.

_____

If you really need answers fast, a graphing calculator can give them to you in very short order (less than a minute).

6 0

4 years ago