Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,160 in simple interest?

Pls show all work

Answers

Answer 1

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]8160 = 34000*4.8*T/100[/tex]

cross multiply we have

[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]

divide both sides by 163200

[tex]816000/163200= T\\\\T= 5 years[/tex]


Related Questions

The pattern on a rug is made up of hexagons, as shown below. What is the value of x?

Answers

840 you just multiply 140 time 6

Answer:

x=80°

Step-by-step explanation:

hexagon has a total of 720 degrees

720-(140×4)=160

160/2= 80

x=80°

tell me the answer on this to lazy at least am honest ​

Answers

Answer:

reflection

Step-by-step explanation:

it goes against the y axis

Answer:

reflection

Step-by-step explanation:

it was reflected over the y-axis

Hope this helps  :)

In ΔWXY, the measure of ∠Y=90°, XW = 89, WY = 80, and YX = 39. What ratio represents the cosine of ∠X?

Answers

Answer:

It's 39/89

Step-by-step explanation:

cos X = adjacent/ hypotenuse = 39/89

[tex]\frac{39}{89}[/tex] represents cosine of ∠X.

What is cosine?

'In a right-triangle, cos is defined as the ratio of the length of the adjacent side to that of the longest side which is the hypotenuse.'

According to the given problem,

In the right angle triangle ΔWXY,

Hypotenuse = XW = 89

Perpendicular = WY = 80

Base = YX = 39

We know,

cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]

⇒ cosX = [tex]\frac{39}{89}[/tex]

Hence, we can conclude that the ratio [tex]\frac{39}{89}[/tex] represents the cosine of ∠X

Learn more about trigonometric identities here: https://brainly.com/question/17976817

#SPJ2

What is 116.52 plus 8% as tax

Answers

Answer:

125.84

Step-by-step explanation:

116.52(0.08)=9.32

116.52+9.32=125.84

Answer:

The total is $125.84.

Step-by-step explanation:

The total is equal to the original value (100%) + the tax amount (8%) which equals 108%. To multiply it, we move the decimal two to the left to get our figure (1.08) then multiply that times 116.52. So, 116.52x1.08=125.8416; for dollars I rounded to the nearest cent: $125.84.

Which equation matches the graph?

In the xy graph, the range of the x axis is zero to four by increment of one. The range of y axis is zero to eight by increment of one. On both axes every alternate tick mark is labeled. On the graph, there is a line passing through the points (2, 2) and (0, 8).

Answers

Answer:

[tex]y = -3x +8[/tex]

Step-by-step explanation:

The graph diagram is not given; however, the equation can be solved from the given points

(2,2) and (0,8)

This is represented as:

[tex](x_1,y_1) = (2,2)[/tex]

[tex](x_2,y_2) = (0,8)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8 - 2}{0 - 2}[/tex]

[tex]m = \frac{6}{- 2}[/tex]

[tex]m =-3[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 2 = -3(x - 2)[/tex]

[tex]y - 2 = -3x + 6[/tex]

Add 2 to both sides

[tex]y - 2 +2= -3x + 6+2[/tex]

[tex]y = -3x + 6+2[/tex]

[tex]y = -3x +8[/tex]

Who ever gets them all right gets brainliest

Answers

Answer:

1. 34

2. 2

3. 8.5

4. 52

5. 6.6

6. 71

7. 2

8. 100

9. .5

Step-by-step explanation:

Part 1:
A year ago, Ray's puppy weighed 8 pounds. Now his puppy weighs 25 pounds
more. How much does Ray's puppy weigh now? Explain using pictures,
numbers, or words.

Answers

Answer:

Puppy's current weight = 33 pounds.

Step-by-step explanation:

The weight of Ray's puppy 1 year ago = 8 pounds

Now, his puppy weighs 25 pounds  more.

All we need is to add the 8 pounds to 25 to determine the current weight.

i.e.

current weight = 8 + 25

                         = 33 pounds

Therefore, puppy's current weight = 33 pounds.

x2 - 8x + 14 = 2x - 7

Answers

Answer:

x=7,3

Step-by-step explanation:

x^2-8x+14=2x-7

Add 8x to both sides.

x^2+14=10x-7

Add 7 to both sides.

x^2+21=10x

x^2+7*3=10x

(x*7)+(x*3)=10x

x=7,3

Hope this helps plz hit the crown :D


PLEASE HELP PLEASE PLEASE

Answers

Answer:

a) 40.

Step-by-step explanation:

a triangle is 180 total

60 because of the exterior angle theorem

Chinki has some ‘fraction bars'. The longest bar is the red one (R).
She has some purple bars (P) that are 3⁄4 of the length of the red one, some yellow bars (Y) that are 1⁄2 of the length of the red one and some green bars (G) that are 1⁄4 of the length of the red one. Chinki wants to arrange 2 or more different bars end to end to create a bar equal in length to the red bar. 3 DIFFERENT WAYS of doing it are shown:
(Note that GGY and YGG are two DIFFERENT arrangements.)
In all, how many different arrangements like these are possible?

Answers

Answer:

7

Step-by-step explanation:

Other ways are:

GP, PG, GYG, GGGG

So in total there are:

3 (given) + 4 = 7 arrangements

help!! i'll give brainliest

Answers

Answer:

Im pretty sure D

Step-by-step explanation:

The answer is D. because the y intercept is 3 and the slope is down 1 and over 2.
hope this helps.
Brainliest please!

A school conference room can seat a maximum of 83 people. The principal and two counselors need to meet with the school’s student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum number of students that can attend each meeting?

Answers

Answer:

40 students

Step-by-step explanation:

We do not count the counselors or the principal because they are not students, so we do 83 - 3 = 80, now it is just simple division, for every student there is a parent, so we divide 80 in half, 80 / 2 = 40 students :D

A pickup truck can carry a maximum
weight of 1000 pounds. A company
uses one of these trucks to deliver 125-
pound bags of sand. The total weight
is a function of the number of bags of
sand on the truck. What is the
greatest value in the domain for this
situation?

Answers

The answer is 454455

Answer:

125x=1000

=8 bags of sand

Step-by-step explanation:

Alyssa used a can of paint that was 5/6 full to touch paint her house. When she was done, the bucket was 11/30 full. What fraction of the can did she use?

Answers

Answer:

7 / 15

Step-by-step explanation:

Fraction before painting = 5/6

Fraction left after painting = 11/30

Fracrion used = difference of the fraction before painting and fraction left after painting

Fraction used = 5/6 - 11/30

Lowest common factor of 6 and 30 = 30

5/6 - 11/30 = (25 - 11) / 30 = 14/ 30

Fraction used = 14/30 = 7/15

Please answer this question I cant figure it out.

Answers

Answer:

G

Step-by-step explanation:

10x20=200

8x25=200

Answer:

G: 8 in. wide and 25 in. long

Step-by-step explanation:

10 x 20 = 200

5 x 25 = 125 (nope)

8 x 25 = 200

Solve h
-7 3/4 - h = 18 1/2

Answers

h = -26 1/4 ...........

2. A solar lease customer built up an excess of 6,500 kilowatt hours (kwh) during the summer using his solar
panels. When he turned his electric heat on, the excess began to be used up at a rate of 50 kilowatt hours
per day.
(a) If E represents the excess left and d represents (b) How much of the excess will be left after one
the number of days since the heat has been month (use a month length of 30 days)?
turned on, write an equation for E in terms of d.
(c) If the heat will need to be turned on for 5 months, will the excess be enough to last through this time
period? Justify your answer.

Answers

9514 1404 393

Answer:

  a)  E = 6500 -50d

  b)  5000 kWh

  c)  the excess will last only 130 days, not enough for 5 months

Step-by-step explanation:

Given:

  starting excess (E): 6500 kWh

  usage: 50 kWh/day (d)

Find:

  a) E(d)

  b) E(30)

  c) E(150)

Solution:

a) The exces is linearly decreasing with the number of days, so we have ...

  E(d) = 6500 -50d

__

b) After 30 days, the excess remaining is ...

  E(30) = 6500 -50(30) = 5000 . . . . kWh after 30 days

__

c) After 150 days, the excess remaining would be ...

  E(150) = 6500 -50(150) = 6500 -7500 = -1000 . . . . 150 days is beyond the capacity of the system

The supply is not enough to last for 5 months.

A piece of paper has a rectangle ABCD in which AB= 10 cm and BC = 22 cm , it was folded to form a right circular cylinder such that AB is cincident to DC . Find the volume of the resulted cylinder

Answers

Answer:  [tex]385cm^{2}[/tex]

Step-by-step explanation:

given data:

AB= 10 cm.

BC = 22 cm.

volume of a cylinder V = [tex]\pi r^{2} h[/tex]

h = 10.

solution

base of the circumference = 22cm

circumference of a circle = [tex]2\pi r[/tex]

r = radius is unknown.

[tex]2\pi r = 22[/tex] .........................eq1

where [tex]\pi = \frac{22}{7}[/tex] insert this into eq1.

[tex]2* \frac{22}{7}* r = 22[/tex]

[tex]\frac{44}{7} r = 22[/tex]

[tex]r = \frac{22}{\frac{44}{7} }[/tex]

[tex]r= 3.5cm[/tex]

next we solve for the volume of the cylinder.

recall   [tex]V = \pi r^{2} h[/tex]

h = 10cm

r = 3.5cm

[tex]V = \frac{22}{7} * (3.5)^{2} *10[/tex]

[tex]V = 385cm^{2}[/tex]

Can y’all help me on question 19

Answers

C is your answer. Because 8 times 1.75$ = $14.00 and 5 times 1.25= $6.25. So $14.00+ $6.25 = $20.25

Simplify the expression. -2.5f + 0.4f - 14 - 3?

Answers

Answer:

-2.1f-17

Step-by-step explanation:

combine like terms

Answer:

-2.1f-17

Step-by-step explanation:

1. Combine like terms

Like terms are those that either have the same variable, degree, or no variable at all.

Here, -2.5f and 0.4f and -14 and -3 are like terms. -2.5f and 0.4f are like terms because they both have f beside them. The reason -14 and -3 are like terms is because they both stand alone with no variables.

Combining like terms means to either add or subtract them from each other depending on their signs.

Just think of them as two separate problems for now.

-2.5f + 0.4f = ?

add these two together to get -2.1f

-14-3

Subtract these to get -17.

2. Put the expression back together: -2.1f-17

Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

These are similar triangles.

By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original

Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:

This means that BF/FE = BC/CD=FC/ED

The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48

BE=BF+FE; BE=9+?

if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE

1x9=9, 7x9=63

63=BE

Step-by-step explanation:

Answer:BE is equal to 72.

Step-by-step explanation: They are similar triangles. We know CD and BC. So we can find the comparison between the two. And we see that BC x 7 = CD. So the same will be said for BF and FE. We have BF is equal to 9. So 9 x 7 = 63. However, now we need to add the two together in order to get BE. Because BF + FE = BE. So 9 + 63 = 72

Find the equation of the linear function represented by the table below in slope-intercept form

Answers

Answer:

y=10x-4

Step-by-step explanation:

To find the slope of the line, we will take 2 points.

(1,6), (2,16)

m=16-6/2-1

m=10/1 or m=10

Next, we will need to find b.

6=10(1) + b

6=10 +b

-4=b

y=10x-4

Pls help im like 5 hrs behind in math

Answers

Answer:

The composite area is a total of 62 square inches.

Step-by-step explanation:

You're given three rectangles of different width and height.  To find the correct answer, you need to find the sum of each rectangles' area.

first though we need to find the height of the middle rectangle.  We are told the total height and the other two rectangles' heights, so we just need to subtract the others' heights from the total:

10 - (4 + 1.5)

10 - 5.5

= 4.5

So the middle rectangle is 4x4.5 inches, giving it an area of 18 square inches

The top one is 8x4 inches for a total of 32 square inches.

And the bottom one is 1.5x8 inches, for a total  12 square inches.

If we add them all up, that's 18 + 32 + 12 square inches, or 62 square inches.

Her house is at (−4, 10). Her school is at (−4, 3). The community center is at (2, 3). The grocery store is at (−4, −6). Part A: Use absolute values to calculate the distance in units from Nina's house to her school

Answers

Answer:

7 units

Step-by-step explanation:

Given that :

house is at (−4, 10). Her school is at (−4, 3)

House location = (-4, 10)

School location = (-4, 3)

Distance from house to school (d) :

Distance between two points :

x = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

x1 = - 4 ; y1 = 10 ; x2 = - 4 ; y2 = 3

d = sqrt[(-4 - (-4))^2 + (3 - 10)^2]

d = sqrt[(-4 + 4)^2 + (-7)^2]

d = sqrt(0 + (-7)^2)

d = sqrt(49)

d = 7 units

Pls help me ASAP I DONT know what to put. I only have 6 minutes to answer pls help

Answers

Answer:

25

Step-by-step explanation:

15 divided by 6 is 2.5, and so is 32.5/13, so 2.5 is your scale factor. Multiply 10 by 2.5 for 25, which is the length of side XY.

Answer:

Step-by-step explanation:

the answer is that d and c is 13 m and y and z is 32.5 m

I’ll mark as BRANLIEST!!

Please help me!!

40 POINTS!!!

Answers

Step-by-step explanation:

Notice that B = {1, 3, 5, 7} and C = {0, 2, 4, 6, 8, 10}.

A U B = {1, 3, 5, 7}.

B ∩ C = { }.

A U C = {0, 1, 2, 4, 5, 6, 7, 8, 10}.

The two cones below are similar. What is the height of the larger cone?​

Answers

Answer: B 35/4

Step-by-step explanation:

The inequality 1.25x + 1.00y < 10.00 can be used by Jason to determine how many drinks, x, and nachos, y, he can buy for him and his friends if he wants to spend no more than $10.00. The graph of 1.25x + 1.00y = 10.00

A. Jason can buy 4 drinks and 5 nachos.
B. Jason can buy 5 drinks and 4 nachos.
C. Jason can buy 8 drinks and 0 nachos.
D.Jason can buy 6 drinks and 2 nachos.

Answers

Answer:

a

Step-by-step explanation:

1.25 times 4 =5, 1 times 5 =5

The answer would be A

What is the equation of the line that has a slope of -4 and goes through (-1,6)? O A. y+ 6 = -4(x + 1) OB. y+6= -4(x - 1) OC. y-6 = -4(x + 1) OD.y-6 = -4(x - 1)​

Answers

Answer:

hi I dont now is this will help you but use M A T H W A Y it will give you the step b step info and the answere

Hope it help

Step-by-step explanation:

Can somebody plz answer all the questions correctly please thanks!
(Only if u done this before)

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD

Answers

Answer:

a. 60%

b. 37%

c. 3%

Step-by-step explanation:

a. 72/ 120 then multiply by 100

b. 120- 72 + 4 = 44/ 120 x 100

c. 4/120 x 100

Answer:

a) 60%.      b) 37%.      c) 3%

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