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2 years ago

In 12 years, a bond with a 6.35% annual rate earned $7620 as simple interest. What was the principle amount of the bond

Mathematics

1 answer:

lana66690 [7]2 years ago

8 0

Answer:

The principal amount is $10160

Step-by-step explanation:

Given; Simple interest, I = 7620

Rate, R = 6.25

Time, T = 12

Principal, P =?

The formula for simple interest, I is;

$I = \frac{PRT}{100}$

Making P the subject of formula;

$P = \frac{I100}{RT}$

$P = \frac{7620 *100}{6.25*12}$

$P = \frac{762000}{75}\\P = 10160$

Therefore, the principal amount is $10160

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Stella wants to build up her emergency fund to $10,000. She has $2,000 now and plans on saving $320 every month. To model the si

MA_775_DIABLO [31]

Answer:

Anwers are top to bottom:

1. y − 2,000 = 2,000 + 320x − 2,000

2. division property of equality

3. Y - 2000/320 = X

4. 10,000 - 2,000/360 = 25 = x

Step-by-step explanation:

7 0

2 years ago

Part B

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

7 0

2 years ago

Christian Iris and Morgan each get an equal share of 1/2 of pizza which model represent the fraction of the pizza each person g

Maru [420]

Answer: The model should look like half a circle cut in 3 parts

Step-by-step explanation:

This is because 1/2 of a pizza is 1/2 a circle since each person gets 1/2 of THAT half, it should be cut in 3 parts

5 0

2 years ago

Banerjee Inc. wants to maintain a target capital structure with 30% debt and 70% equity. Its forecasted net income is $825,000,

bulgar [2K]

The capital budget will be supported with 30% debt and 70% equity. Since the company's income will be $825,000 this is the maximum equity that can be put towards the capital budget and therefor is matched in the ratio 70:30 by borrowings. If $825000 is 70%, divide that (825,000/.70) you’ll get the total maximum budget of $1,178,571 which is letter c. To get the 30%, just deduct the $825,000 to $1,178,571, you’ll get $353,571. To make sure your answer is correct, add up the 70% and 30% values and if they make the original total value, then the answer is correct. $825,000 + $353,571 = $1,178,571

6 0

2 years ago

Find the inverse of the function. y = 2x2 –4

Alex73 [517]

Answer:

The inverse function is $y=\sqrt{\frac{x+4}{2}}$