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3 years ago

Suppose $1750 is put into an account that pays an annual rate of 4.5%

Mathematics

1 answer:

Yanka [14]3 years ago

6 0

Answer:

The amount in the account after six years is $2,288.98

Step-by-step explanation:

In this question, we are asked to calculate the amount that will be in an account that has a principal that is compounded quarterly.

To calculate this amount, we use the formula below

A = P(1+r/n)^nt

Where P is the amount deposited which is $1,750

r is the rate which is 4.5% = 4.5/100 = 0.045

t is the number of years which is 6 years

n is the number of times per year, the interest is compounded which is 4(quarterly means every 3 months)

we plug these values into the equation

A = 1750( 1 + 0.045/4)^(4 * 6)

A = 1750( 1 + 0.01125)^24

A = 1750( 1.01125)^24

A = 2,288.98

The amount in the account after 6 years is $2,288.98

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Find three consecutive odd integers so that the sum of twice the first, the second

netineya [11]

Answer: 23, 25, 27

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2 and x+4.

2x+(x+2)+3(x+4)=152

2x + x + 2 + 3x + 12 = 152

6x+14=152

6x = 152 - 14

x=138/6

x=23

So, the numbers are 23, 25 and 27.

7 0

3 years ago

There are two newborns, Gary and Eric. The future lifetime of Gary is uniformly distributed between 0 to 60 years. The future li

scoray [572]

Answer:

$\text{The probability that Gary dies first = }\frac{1}{3}$

Step-by-step explanation:

To find the required probability,

We can split the 40 years of Eric into very small pieces of time dt. Now, If Eric dies at time t and Gary dies before Eric, the probability is :

$\frac{t}{60}\times \frac{dt}{40}=\frac{t\cdot dt}{2400}$

Hence the probability that Gary dies first is given by :

$=\int_{0}^{40}\frac{t}{2400}dt \\\\= \frac{1}{3}$

3 0

3 years ago

Find the measure of <1

Dmitry [639]

Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

60 + angle4 = 180

angle4 = 180 - 60

angle4 = 120

Also,

angle2 = 120 (vertically opposite angles)

angle1 + angle2 = 180 (linear pair)

angle1 + 120 = 180

angle1 = 180 - 120

angle1 = 60

3 0

3 years ago

The oldest child in a family of four children is twice as old as the yougest. The two middle children are 12 and 15 years old. I

vesna_86 [32]

Answer:

8 years old

Step-by-step explanation:

oldest= 16

8+12+15+16= 51

51/4 = 12.73 ( average)

3 0

3 years ago

The cost of producing pens with the company logo printed on them consists of a onetime setup fee of $270.00 plus $0.70 for each

Svet_ta [14]

Answer:

$1600

Step-by-step explanation:

Use the formula

c = 270 + .70p

Where p is the number of pens produced. Plug in the 1900 in for p then simply solve for c.

c = 270 + .70(1900)

c = 270 + 1330

c = 1600

4 0

2 years ago

Read 2 more answers