10. Richard made $7840 in interest after seven years at a 7% simple interest rate. How much money did Richard initially deposit, to the nearest dollar?
11. If a home loan of $240,000 was paid off in 30 years and the homeowners ended up paying a total of $528,000 total. If the loan and simple interest what is the percentage rate that was used on a home loan?
12. if you wanted to earn $845 and simple interest on a 60 month loan of $1000 what rate would you need?

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Answer:

  10. $16,000

  11. 4%

  12. 16.9%

Step-by-step explanation:

10. The amount of the loan plus interest is given by the formula ...

  I = Prt

  P = I/(rt) = $7840/(0.07×7) = $16,000

Richard initially deposited $16,000.

__

11. The total of principal plus interest is ...

  A = P(1 +rt)

Solving for r gives ...

  r = (A -P)/(Pt) = (528000 -240000)/(240000×30) = 0.04 = 4%

The percentage rate used was 4%.

__

12. The interest formula is ...

  I = Prt

Solving for r gives ...

  r = I/(Pt) = $845/($1000×5) . . . . . . 60 months = 5 years

  r = 0.169 = 16.9%

To earn $845 in interest, you would need a rate of 16.9%.

Liquid products were first obtained from coal in England during the 1700s. Lamp oil was produced from coal in the United States as early as 1850, but the domestic coal chemicals industry did not develop until World War I. A modern coal - for - recovery system uses a battery of coke ovens to produce liquid products from coal feed. These observations are obtained on the random variable X, the number of gallons of liquid product obtained per coal feed: (insert data)
7.6 8.2 7.1 10.0 6.5 9.6
6.1 6.2 7.6 6.2 9.5 6.7
7.4 9.5 9.2 8.0 8.5 9.3
8.8 9.6 9.7 6.8 7.1 7.7
8.7 7.8 8.7 8.2 8.2 7.4
9.0 8.8 7.3 7.9 7.1 7.9
7.6 6.7 8.1 6.2 5.3 7.4
7.7 9.1 7.9 8.7 8.4 8.1
a). Construct a stem – and – leaf diagram for these data. Use the numbers 5,6,7,8,9,10 as stems.
b). Is the assumption that X is normally distributed justifiable? Explain.
c). Break these data into six categories
d). Construct a frequency table and relative frequency histogram for these data. Does the histogram exhibit the bell – shape characteristics of a normal density?
e). Construct a cumulative frequency table and relative cumulative frequency ogive for these data. Use the ogive to approximate the probability that a randomly selected ton of coal will yield les than 7 gallons of liquid product.

The circumference of a circle is 125.6 inches. What is the circle's radius?

Help pls!

Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 g(x) -24 -4 0 Which statement correctly compares the two functions? A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.

The cosine of a 30 degree angle is equal to the sine of a

Nolan has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 40 points for a free movie ticket.

Write and solve an inequality which can be used to determine
v
v, the number of visits Nolan can make to earn his first free movie ticket?

What’s the slope???????????????

Change 360.439 to degrees, minutes, and seconds.
A360° 55' 56'
b. 360° 25' 48'
C.360° 56' 80
D360° 53' 55"
Please select the best answer from the choices provided
A
B
C
D

You might even think it’s not a thing for a 11 year-old, but I got this as my assignment today: 6.22222267/2.1 x 1/2 of 98... This is disaster. Pls help.....

hurry please i have 2 minutes left

What is the volume of a pentagonal prism that has a base area of 5.16 cm2 and a height of 9 cm? 46.44 cm 3 19.32 cm 3 55.32 cm 3 14.16 cm 3

What is the solution to the equation below?

5x(3/5+1/2)= _ _/_ while number and fraction already tried 4 2/3 said it was wrong help

Brainliest plus 20 points just answer these 4 questions (Math)

Which graph represents functions f and g?
f : initial value of 200 decreasing at a rate of 4%
g: initial value of 40 increasing at a rate of 8%

A. The graph with the X-coordinate marks 0, 10, 20, and 30; Y-coordinate marks 0, 50, 100, 150, and 200. There is function curve f with initial value starts from (0, 200) and goes on increasing. It passes through the point (5, 175). There is function curve g with initial value starts from (0, 40) and goes on decreasing. It passes through the point (10, 25).

B. The graph with the X-coordinate marks 0, 10, 20, and 30; Y-coordinate marks 0, 50, 100, 150, and 200. There is function curve f with initial value starts from (0, 200) and goes on decreasing. It passes through the point (25, 25). There is function curve g with initial value starts from (0, 40) and goes on increasing. It passes through the point (5, 50). The both curve intersect each other at the point (14, 70).

C. The graph with the X-coordinate marks 0, 10, 20, and 30; Y-coordinate marks 0, 50, 100, 150, and 200. There is function curve f with initial value starts from (0, 200) and goes on decreasing. It passes through the point (25, 75). There is function curve g with initial value starts from (0, 40) and goes on increasing. It passes through the point (15, 125). The both curve intersect each other at the point (14, 115).

D. The graph with the X-coordinate marks 0, 10, 20, and 30; Y-coordinate marks 0, 50, 100, 150, and 200. There is function curve f with initial value starts from (0, 200) and goes on increasing. It passes through the point (2, 225). There is function curve g with initial value starts from (0, 40) and goes on decreasing. It passes through the point (5, 175).

the mult of 5-6 to the power of 76

Solve for y. 3=7(1-1)

(it isn't 2)​

Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test). For each statement, enter Correct if the argument is valid, or enter Incorrect if any part of the argument is flawed. Note: if the conclusion is true but the argument that led to it was wrong, you must enter Incorrect.
1. For all n>1, sin2(n)n2<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑sin2(n)n2 converges.
2. For all n>1, arctan(n)n3<π2n3, and the series π2∑1n3 converges, so by the Comparison Test, the series ∑arctan(n)n3 converges.
3. For all n>2, 1n2−5<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑1n2−5 converges.
4. For all n>2, n+1−−−−−√n>1n, and the series ∑1n diverges, so by the Comparison Test, the series ∑n+1−−−−−√n diverges.
5. For all n>2, nn3−2<2n2, and the series 2∑1n2 converges, so by the Comparison Test, the series ∑nn3−2 converges.
6. For all n>1, n2−n3<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑n2−n3

30) The sum of three consecutive numbers is 27. What are the three numbers? A. 8, 9, 10 B. 6, 7 8 C. 11, 12, 13 D. 9, 10, 11

Simplify using the product rule.
a^4 x a^3

please help me on this. the corerect answer gets brainliest

help pleaseeeeeeeeeeeee

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If you've driven at a speed 60 mph constantly. How far have you driven?

Please actually do it im gonna k m s if someone answers this with a link again ​

A shipment of fibers is not acceptable if the mean breaking strength of the fibers is less than 50.03 N. A large sample of fibers from this shipment was tested, and a 98% lower confidence bound for the mean breaking strength was computed to be 50.1 N. Someone suggests using these data to test the hypotheses H0 : μ ≤ 50.03 versus H1 : μ > 50.03. Is it possible to determine from the confidence bound whether P < 0.01? Explain.

(5 points) The population of a state changes due to births, deaths, and immigration. The annual birth rate is 14.3 births per 1000 residents, the death rate is 11.8 deaths per 1000 residents, the immigration rate into the state is 21.6 immigrations per 1000 residents, and the emigration rate out of the state is 5.5 emigrations per 1000 residents. Find the population growth rate as a percentage.

Kelly recorded the number of people who wore school shirts to the football game on Saturday. Of the 525 fans, 224 wore school shirts. If 840 people are expected to attend next Saturday, how many of them would Kelly expect to be wearing school shirts?
A)224
B)301
C)358
D)525​

What area is this shape ?

Write 0.721 as a fraction. Show your work.
ASPP

Plz explain how to do this!!!