Mathematics High School

$8,000 was deposited into an account that was compounded annually at 6% interest over 7 years. How much interest was earned on the account? Interest=(

Answers

Answer 1

Answer:$4029

Step-by-step explanation:

Given

Principal amount [tex]P=\$8000[/tex]

Interest rate [tex]R=6\%[/tex]

Time period [tex]T=7\ yr[/tex]

Amount after T years is given by

[tex]A=P[1+R\%]^T[/tex]

Put values

[tex]\Rightarrow A=8000[1+0.06]^7\\\Rightarrow A=\$12,029[/tex]

Interest is the difference of amount and principal, that is

[tex]\Rightarrow C.I.=12,029-8000=\$4029[/tex]

Related Questions

Name the triangle congruent to ∆ABC.
∆ABC ~∆ ___

Answers

Answer: QPR

Step-by-step explanation:

Angle A is congruent to angle Q

Angle B is congruent to angle P

Angle C is congruent to angle R

Therefore, triangle ABC is congruent to triangle QPR

What is the volume of the cube

Answers

Answer:

5 inches³

Step-by-step explanation:

2½ ÷ 5 = ½ (Length of the equal sized cube)

½×2 = 1 (width)

½ × 4 = 2 (height)

Volume of the right rectangular prism = L × W × H

2½ × 1 × 2 = 5 inches³

A sphere has a surface area of 2,122.64 square meters. Which equation can you use to find the radius?
2,122.64 = 4pie r
2,122.64 = 4pier²
2,122.64 = 4(pier)2
2,122.64 = (4pier)2

Answers

Answer:

12.997

Step-by-step explanation:

this is the answer but i don't understand the rest of this question :

. Which equation can you use to find the radius?

2,122.64 = 4pie r

2,122.64 = 4pier²

2,122.64 = 4(pier)2

2,122.64 = (4pier)2

hope this helps

Explanation:
The surface are of a sphere has the formula
SA=4πr2SA=2122.64
so
2122.64= 4πr^2
The answer is the second one

If you have 2 cans of tomato soup, 3 cans of chicken soup, 2 cans of cheese soup, 2 cans of potato soup and 1 can of beef soup what is the probability that he will choose a ca of tomato and a can of cheese soup

Answers

Answer:

1/25

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

probability of choosing a can of tomato and a can of cheese soup = probability of choosing a can of tomato x probability of choosing a can of cheese soup

total number of cans = 2 + 3 +2 + 2 + 1 = 10

probability of choosing a can of tomato = number of can of tomato / total number of cans

= 2/10 = 1/5

probability of choosing a can of cheese soup = number of can of cheese soup / total number of cans

= 2/10 = 1/5

1/5 x 1/5 = 1/25

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust Thick crust Stuffed crust Pan style Based on this information, of the next pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answers

The complete exercise with the answer options is as follows:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust 364

Thick crust 240

Stuffed crust 176

Pan style 260

Based on this information, of the next 3000 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

692 thick crust pizzas

Step-by-step explanation:

With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.

Type of Crust Number Sold

Thin crust 364

Thick crust 240

Stuffed crust 176

Pan style 260

total pizzas : 1040

Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas

1040→240

3000→x

x= [tex]\frac{3000x240}{1040}[/tex] = 692

Now we have a new proportion that out of 3000 pizzas there are a total of 692 thick crust pizzas

There are 22,521 more people living in the suburbs of a city than in the city. If 17,245 people live in the city, how many people live in the suburbs?

Answers

Answer:

Number of people in the suburbs= 39,766

Step-by-step explanation:

Giving the following information:

22,521 more people are living in the suburbs of a city than in the city.

Number of people in the city= 17,245

To calculate the number of people that lives in the suburbs, we need to use the following formula:

Number of people in the suburbs= Number of people in the city + 22,521

Number of people in the suburbs= 17,245 + 22,521

Number of people in the suburbs= 39,766

50 points
Please help ///// brainiliest
A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?

A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2

Answers

Answer:

height [h]=6cm

Volume of cone =1/3 πr²h

128πcm³=1/3×π×r²×6

128×3/6=r²

r=√64

r=8cm

Now

slant height (l)=√{8²+6²}=10cm

again

.Total surface area :πrl+πr²=π×8(10+8)=144πcm²

its exact surface area is C. 144π cm²

[tex]\green{\boxed{-answer-}}[/tex]

Thats kinda hard but here maybe this one

C) 104π cm2

I dont really know well have a nice day man

Learning task 3
What polygon is being described in the picture

Answers

There isn’t a picture, can you post one?

Please help
Which one is correct?

Answers

Answer:

The first one

Step-by-step explanation:

3/5 and 9/25

Can you solve the surface area and the volume for the triangular prism? i need it now please

Answers

Surface Area = 96in³

To find the surface area of a triangular prism we can use the following equation

[tex]SA = Perimeter * Height[/tex]

The perimeter is the perimeter of one base, and the height is the length of the lines connecting both bases. Now that we know that we can input that into the equation

[tex]SA = (5 + 4 + 3)8\\SA = (12)8\\SA = 96\\[/tex]

HELP PLS HELPP ITS ONLY TWO SMALL QUESTIONS SUPER QUICK

Answers

Answer:

y=-7 and x=-3

Step-by-step explanation:

Answer:

Y =-7 and X -3

Solution:

4x-2y=2

2(2x-y)=2⋅1

2x-y=1

and y+4=x

∴y-x=-4

Suppose,

2x-y=1→(1)

and -x+y=-4→(2)

Taking equation (1), we have

2x-y=1

⇒y=2x-1→(3)

Putting y=2x-1 in equation (2), we get

-x+y=-4

-x+(2x-1)=-4

⇒-x+2x-1=-4

⇒x-1=-4

⇒x=-4+1

⇒x=-3

⇒x=-3→(4)

Now, Putting x=-3 in equation (3), we get

y=2x-1

⇒y=2(-3)-1

⇒y=-6-1

⇒y=-7

∴y=-7andx=-3

The arithmetic sequence as is defined by the formula:

ai = -4910

ai = Ai-1 +8

Find the sum of the first 575 terms in the sequence.

Answers

Answer:

An arithmetic sequence is a sequence such that the difference between two consecutive terms is a constant, and we can call it d.

Then the general recursive relation is:

Aₙ = Aₙ₋₁ + d.

And the sum of the first N terms of this sequence is given by:

S(N) = (N/2)*(2*A₁ + (N - 1)*d)

Where A₁ is the first term of the sequence.

In this case, we have:

A₁ = -4910

Aₙ = Aₙ₋₁ + 8

Then we have: d = 8

(it actually says:

ai = -4910

ai = Ai-1 +8

But that has no actual meaning, so I assumed that the first one was actually the first term of the sequence)

The sum of the first 575 terms of this sequence is given by:

S(575) = (575/2)*(2*(-4910) + (575 - 1)*8) = -1,503,050

How old will Marisa be in 3 years.

Answers

Answer: 10

She cant be the same age as him or older because hes 3/2 older

she will be 10 in 3 years

kirans aunt is 15 years older than kiran. how old will kirans aunt be when kiran is 13? how old will kiran be when his aunt is 60 years old?

Answers

Answer:

When Kiran is 13, his aunt will be 28.

When Kiran's aunt is 60, he will be 45.

Step-by-step explanation:

Hope this helps!

Answer:

a) 28 (kiran's aunt when kiran is 13)

b) 45 (kiran when kiran's aunt is 60)

Step-by-step explanation:

first

let kiran's age be k

kiran's aunt= 15 + k

when kiran is 13, kiran's aunt is 15+13

15+13= 28

when kiran's aunt is 60;

15+k = kiran's age

60 = 15+ k

k = 60-15

k = 45

SOMEONE PLEASE HELP ME WITH THIS QUESTION ASAP AND SHOW WORK

Answers

Answer:

m∠XCY = 60°

Step-by-step explanation:

From the figure attached,

Circle has been given with the inscribed angles ∠XWY and ∠XCY formed by the same arc XY.

By the property of the inscribed angles,

"Measure of the inscribed angle formed by the same arc are equal"

m∠XWY ≅ m∠XCY

60x = 61x - 1

61x - 60x = 1

x = 1

Therefore, m∠XCY = 61x - 1

= 61(1) - 1

= 60°

Please answer the question correctly

Answers

Answer: The answer is 24

Step-by-step explanation: because it's the same line and it's only telling you half of the line so you just double it

the product of the square of a number and the cube of the same number is equal to 32. find the answer

Answers

Answer:

x = 2

Step-by-step explanation:

9x^2 * x^3 = 32

x^5 = 32

x^5 = 2^5

x=2

A rescue team 1000 ft. away from the base of a vertical cliff measures the angle of elevation to the top of the cliff to be 70. A climber is stranded on a ledge. The angle of elevation from the rescue team to the ledge is 55. How far is the stranded climber from the top of the cliff?

Answers

The stranded climber is 14 ft from the top of the cliff. You are going to subtract the top of the cliff from the ledge and 14 is your answer.

Hey can you help me fast!!

Answers

Answer: -6.3 lb after 3.5 hours

Step-by-step explanation:

-1 (4)/(5) = -9/5 = -1.8

0.5hr = -0.9

1hr = -1.8

2hr=-3.6

3hr=-5.4

3.5hr = -6.3

Amanda earned a score of 940 on a national achievement test that was normally distributed. The mean test score was 850 with a standard deviation of 100
If 1000 students took the test, how many scored below Amanda? Use z table.

Answers

Answer:

lower than Amanda: 816 students

Step-by-step explanation:

An equivalent way in which to state this problem is: Find the area under the standard normal curve to the left (below) 940.

Most modern calculators have built in distribution functions.

In this case I entered the single command normalcdf(-1000,940, 850, 100)

and obtained 0.816.

In this particular situation, this means that 0.816(1000 students) scored lower than Amanda: 816 students.

Answer:

Lower than Amanda : 816 students.

The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?
A : 3.1 inches
B 6.3 inches
C: 12.6 inches
D 25.1 inches
E 50.2 inches

Answers

Answer:

B. 6.3 inches.

Step-by-step explanation:

I'll use 2πr for both sides of this.

Pie:

2 * 3.14 * 8

16 * 3.14

50.24 inches for the pie

Container:

2 * 3.14 * 9

18 * 3.14

56.52 inches for the container

Difference:

56.52 - 50.24

6.28-inch difference, which rounds to 6.3 inches. B is our answer.

Find the volume of the sphere.
Either enter an exact answer in terms of a or use 3.14 for
a and round your final answer to the nearest hundredth.
With the radius of 4.

Answers

Answer:

268.08

Step-by-step explanation:

V = [tex]\frac{4}{3}[/tex] π r³

You are buying a car. Would you prefer a higher rate for a lower term or a lower rate
terma Explain your choice.

Greg and Jerry are depositing money into savings accounts. Greg deposits $500 in
for 2 years with 2% interest. Jerry despots $700 into a different account for 1 year w
who earns the greatest overall percent interest Show your work and explain.

Answers

Answer:

what percent of interest does Jerry have?

HELPP will give brainliest NO LINKSSS

Answers

Answer:

you didnt attach anything

Step-by-step explanation:

The average number of slam dunks between the sophomore basketball league members is 20. The average number of slam dunks between the sophomore and junior basketball league members is 30. If there are 40 members in the sophomore league and 20 members in the junior league, how many slam dunks are made in the junior league?

Answers

Answer:

The sum of the slam dunks made in the junior league is 1,000 slam dunks

Step-by-step explanation:

The known parameters are;

The average number of slam dunks between the sophomore basketball league members, μ₁ = 20

The average number of slam dunks between the sophomore and junior basketball league members, μ₃ = 30

The number of members of the sophomore league, n₁ = 40

The number of members of the junior league, n₂ = 20

We get;

The sum of the scores of the sophomore league members, S₁ = μ₁ × n₁

∴ S = 20 × 40 = 800

The sum of the scores of the sophomore and junior league members combined, S₃ = (n₁ + n₂) × μ₃

∴ S₃ = (40 + 20) × 30 = 1,800

The sum of the slam dunks made by the junior league members, S₂ = S₃ - S₂

∴ S₂ = 1,800 - 800 = 1,000

∴ The sum of the slam dunks made in the junior league, S₃ = 1,000

Marilyn Manson anybody else a fan ?

Answers

Answer:

wait who is that again?

Step-by-step explanation:

Answer:

Yes, I am a fan.

Step-by-step explanation:

;)

Select all equations whose graphs have a vertex with x-coordinate 2

A. y=(x-2)(x-4)
B. y=(x-2)(x+2)
C. y=(x-1)(x-3)
D. y=x(x+4)
E. y=x(x-4)

Answers

Answer:

Step-by-step explanation:

because you have to foil then do -b/2a

By finding the x-coordinate of each vertex, we will see that the correct options are C and E.

How to identify the x-value of the vertex?

For a quadratic equation of the form:

y = (x - a)*(x - b)

Where a and b are the roots, such that a < b, the x-value of the vertex is given by:

a + (b - a)/2

With that, we can check the x-value of the vertex of each option.

A) y=(x-2)(x-4)