What is the area of a rectangle with side of length 4/5 foot and 1/2 foot.

Answers

Answer 1

Answer: you multiply 4/5 and 1/2 and you get 4/10 which is simplified to 0.4
which equals..
0.4 feet^2 in area

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Doris put $4000 in a 5year CD paying 6% interest compounded monthly. After 2 years, she withdrew all her money, and as an early withdrawal penalty, she paid back all the interest she made during the first year. How much money was Doris left with? Show your work.

Answers

Answer: Doris was left with $4216.93.

Step-by-step explanation:

Since we have given that

Principal amount = $ 4000

Rate of interest = 6%

He put $4000 in a 5 year CD paying 6% interest compounded monthly.

After 2 years, she withdrew all her money.

so, Amount after 2 years when it is compounded annually.

$A=4000(1+(6)/(12* 100))^(12* 2)\n\nA=4000(1+0.005)^(24)\n\nA=4000(1.005)^(24)\n\nA=\$4508.64$

As an early withdrawal penalty, she paid back all the interest she made during the first year.

$Interest=4000[(1+0.005)^(12)-1]\n\nInterest=\$246.71$

Amount left with Doris is given by

$\$4508.64-\$246.71\n\n=\$4261.93$

Hence, Doris was left with $4216.93.

for APEX it is going to be 4261.93

Find the volume generated by rotating the region in the first quadrant bounded by y =e" and the X-axis from = 0 to x = ln(3) about the y-axis. Express your answer in exact form. Volume =

Answers

The volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3.

To find the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis, we can use the disk method. The disk method involves slicing the region into thin disks and adding up their volumes.

The volume of each disk is πr2h, where r is the radius of the disk and h is the thickness of the disk. In this case, the radius of each disk is x and the thickness is dx.

So, the volume of the region is:

V = ∫0ln(3)πx2dx

We can use the power rule for integration to solve this integral:

V = π∫0ln(3)x2dx = π[(x3)/3]0ln(3) = π[(ln(3)3)/3 - (03)/3] = (πln(3)3)/3

Therefore, the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3. This is the exact form of the volume.

To know more about disk method refer here:

brainly.com/question/28184352#

#SPJ11

Consider the function y=x^2+5x-2 . What would happen to the graph if (x + 5) was substituted in place of the x?A. The graph would shift 5 units to the right.
B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.
Consider the function y=x^2+5x-2 . What would happen to the graph if (x + 5) was substituted in place of the x?

A. The graph would shift 5 units to the right.
B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.

Answers

"The graph would shift 5 units to the left" is the one among the following choices given in the question that describes what would happen to the graph if (x + 5) was substituted in place of the x. The correct option among all the options that are given in the question is the last option or the fourth option or option "D".

Answer:

Option: D is the correct answer.

D. The graph would shift 5 units to the left.

Step-by-step explanation:

We know that the transformation of a function f(x) to f(x+a) is a shift of the function either to the left or to the right by a units depending on the sign of a i.e. if a>0 then the shift is a units to the left

and if a<0 then the shift is a units to the right.

Here we have:

$y=x^2+5x-2$ is converted to:

$y=(x+5)^2+5(x+5)-2$

Here we have a=5>0

Hence, the shift is 5 units to the left.

Julia worked 45 hours last week. If her earning rate is $6.50 for straight time (40 hours) and she earns time-and-a-half rate for all hours over 40, how much did she earn last week?

Answers

First, start by multiplying 6.50 by 40, to get your straight time. The product is 260. The add that to the overtime. Getting the overtime is a bit more complicated. Start with multiplying 6.50 by 1.5, which gives you 9.75. Then multiply that by the 5 hours worked overtime, to give you 48.75. Finally, add 260 (from the beginning) to the 48.75 we just found. Your answer should be, "She earned $308.75 last week."

How do you find rhe slope of (12,-18) and (-15,-18)

Answers

slope of 2 points is
if you has the points
(x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

we are given
(12,-18)
(-15,-18)

we can either take shortcut and recocnize that -18-(-18)=0 so that make the slope 0

or we can continue
(-18-(-18))/(-15-12)=0/-27=0

slope=0

you do Y2-Y1/ X2-X1, so -18--18(change sighn so it would be -18+18) which equals 0, then -15-12= -27, 0/-27= 0 so the slope would be 0

Type the equation that shows the pattern among this set of ordered pairs. (2, 4), (3, 8), (4, 12), (5, 16)

Answers

x + 1 y +4 and the next number would be (6, 20)

y=mx+b
m=slope
b=yint

slope=(y2-y1)/(x2-x1)
(2,4) (3,8)
Slope=(8-4)/(3-2)=4/1=4

y=4x+b
(x,y)
(2,4)
4=4(2)+b
4=8+b
-4=b

y=4x-4

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