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Katyanochek1 [597]

2 years ago

6

John Johnson is forty-seven. He is purchasing twenty-year endowment insurance, with a face value of $20,000. What is his annual

premium? 751.00 772.00 933.00 939.80

1 answer:

Alenkinab [10]2 years ago

4 0

The answer is Letter D - 939.80.

You can refer to the attachment for the rate. Since he is forty-seven years old, use that age to find his rate under a twenty-year endowment insurance. In this case, the rate is 46.99. Multiply that rate to 20 since he purchased a 20-year endowment insurance with a face value of $20,000. (20,000/1,000 = 20)

46.99 x 20 = 939.80

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Line jk passes through points j(-4,-5) and k(-6,3 if the equation of the lines is written in slope-intercept form,y=my+b what is

lidiya [134]

Written in 2-point form, the equation of the line is
y = (y2-y1)/(x2-x1)·(x-x1) +y1
y = (3-(-5))/(-6-(-4))·(x-(-4)) + (-5)
y = 8/-2·(x +4) - 5
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The value of b is -21.

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2 years ago

On January 4, janelle ruskinoff deposited $2192.06 in a savings account that pays 5.5 percent interest compounded daily. How muc

Andru [333]

Answer:

$7.94

Step-by-step explanation:

We have been given that on January 4, Janelle Ruskinoff deposited $2192.06 in a savings account that pays 5.5 percent interest compounded daily. We are asked to find the amount of interest earned in 24 days.

We will use compound interest formula to solve our given problem.

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

A = Final amount after t years,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = time in years.

24 days in years would be $\frac{24}{365}$ .

$r=\frac{5.5}{100}=0.055$

Upon substituting our given values in above formula, we will get:

$A=2192.06(1+\frac{0.055}{365})^{365\times\frac{24}{365}}$

$A=2192.06(1+0.0001506849315068)^{24}$

$A=2192.06(1.0001506849315068)^{24}$

$A=2192.06(1.0036227121284570884)$

$A=2200.001202348$

To find amount of interest earned, we will subtract principal amount from final amount as:

$I=A-P$

$I=2200.001202348-2192.06$

$I=7.941202348$

$I\approx 7.94$

Therefore, her money will earn approximately $7.94 in 24 days.

5 0

2 years ago

A pile of coins, consisting of quarters and half dollars, it worth $11.75. If there are 2 more quarters than half dollars, how m

lord [1]

Let the number of half dollars be x,

number of quarters = x + 2
amount of half dollars = 0.5x
amount of quarters = 0.25(x + 2)
= 0.25x + 0.5
total amount = 0.5x + 0.25x + 0.5
= 0.75x + 0.5
0.75x + 0.5 = 11.75
0.75x = 11.25
x = 15
number of quarters = x + 2
= 15 + 2
= 17

There are 17 quarters and 15 half dollars.

3 0

2 years ago

The gas tank of a car is filled with a nozzle that discharges gasoline at a constant flow rate. Based on unit considerations of

Cloud [144]

Answer:

It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.

Step-by-step explanation:

The filling time of a gas tank can be given by a first order function in this format:

$F(t) = V - r*t$

In which $F(t)$ is the current amount of fuel in the tank(in L), $V$ is the volume of the tank(in L), $r$ is the discharge rate of the tank(in L/s) and t is the time in seconds.

Finding the values of the parameters:

The tank is completly empty, so $F(t) = 0$ .

The volume of the tank is 14 gallons. However, the problem states that the volume of the tank is measured in liters.

Each gallon has 3.78L.

So $V = 14*3.78 = 53L$

The discharge rate for the gas is 38.0 l/min. However, the problem states that the discharge rate is in L/s. So, to find the value of r, we solve the following rule of three.

38 L - 60s

r L - 1s

$60r = 38$

$r = \frac{38}{60}$

$r = 0.63$

Solving the equation:

$F(t) = V - r*t$

$0 = 53 - 0.63t$

$0.63t = 53$

$t = \frac{53}{0.63}$

$t = 84.12s$

It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.

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