Ask question

Ask question

All categories

2 years ago

5

Robert Duncan made a $1500 deposit to savings account paying 1.6 annual interest compounded semi annually if he kept the money o

n the deposit for six months how much interest did Robert earn?

1 answer:

Ahat [919]2 years ago

3 0

Answer: $12

Step-by-step explanation:

The formula to calculate the compound interest , if the interest is compounded semi-annually :-

$A=P[(1+\dfrac{r}{2})^{2t}-1]$

, where P = Principal amount

r = rate of interest ( in decimal)

t= Time ( in years)

Given : P= $1500

r= 1.6 % =0.016

t= 6 months = $\dfrac{1}{2}$ year [∵ 1 year = 12 months]

Then, the interest earned by Robert in 6 months will be :-

$A=1500[(1+\dfrac{0.016}{2})^{2\cdot\frac{1}{2}}-1]$

$A=1500[(1+0.008)^{1}-1]$

$A=1500[1.008-1]$

$A=1500[0.008]=12$

Hence, Robert earned $12 as interest .

You might be interested in

A square has a side length of 5x + 3. Which expression represents theperimeter of the square

4vir4ik [10]

Answer:

um

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

3 0

2 years ago

Suppose we fit a regression line to predict the number of incidents of skin cancer per 1,000 people from the number of sunny day

Jet001 [13]

Answer: The incidence of skin cancer (melanoma) has been underestimated.

Step-by-step explanation: The frequency of melanoma is more than 20 times higher in whites than in black Americans. In general, the risk of melanoma in the course of life is approximately 2.6% (1 in 38) for whites, 0.1% (1 in 1.000) for black people and 0.58% (1 in 172) for Hispanics. the risk for each person can be affected by a different number of factors.

6 0

2 years ago

Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-

AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

$\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\$

So, this integral is convergent.

b)

$\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\$

So, this integral is divergent.

c)

$\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\$

So, this integral is divergent.

4 0

3 years ago

which of the ordered pairs is a solution of the given system? y=3x-2 y=-x A.(2,9)B.(1,4)C.(1/2,-1/2)

lesantik [10]

Step-by-step explanation:

7 0

2 years ago