7
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an
annual simple interest rate of 8%. After 8 years, the interest earned on the account was $5,760. How much money did Mike's
grandmother deposit in the account?
OA. $8,000
OB. $9,500
OC. $10,000
OD. $9,000

Answers

Answer 1

Answer:

we have to use the formula of simple interest, which is

I = P r t

Where I is the interest earned, P is the amount invested, r is the rate of interest and t is the time duration .

In the given question, I = $4840 , r =11% or 0.11, t=11, P is unknown .

Substituting the values in the formula, we will get

4840=0.11*11*P4840=0.11∗11∗P

4840=1.21 P4840=1.21P

P=4000

So she invested $4000

Answer 2

Answer:

Option: D P = 9000

Step-by-step explanation:

I = PRT

5760 = P * 0.08 * 8

5760 = 0.64P

9,000 = P


Related Questions

(1/4)^3z-1=16^z+2x 64^z-2

Answers

Answer:

Step-by-step explanation:

Find the area of a regular quadrilateral that has a perimeter of 88V2
meters


Help please,

Answers

Depends upon what's the quadrilateral is

Solving according to square

Perimeter=4a

4a=88a=88/4=22

So

Area:-

22²=484units²

A triangle has side lengths of 14 yards, 17 yards, and 13 yards. What kind of triangle is it?

Answers

It is a scalene triangle. A scalene triangle is a triangle that has no equal sides.

I need help

In y = 2^x + 1, what is the exponent?

Answers

Step-by-step explanation:

The natural log has a base of 'e'. That is the definition of the natural log. Therefore, using logarithm rules, 'e' to the power of the right side equals 'y':

[tex] {e}^{ {2}^{x} + 1 } = y[/tex]

Answer:

x

Step-by-step explanation:

In this problem, x is the exponent as the term '2' is multiplied by itself x times. If you look a bit further, you will see there is also an invisible power on 1, but 1 raised to any exponent will be 1 itself so it isn't considered.

All of the following are examples of attempts to offset carbon emissions EXCEPT...
A. Kyoto Protocol
B. Freedom in Industry
C. Nuclear energy
D. Sun, Wind, and Tidal energy

Answers

Answer:

B. Freedom in Industry

Step-by-step explanation:

The Kyoto Protocol is a commitment between countries to limit the amount of greenhouse gases produced. Nuclear, Sun, Wind, and Tidal energy are all renewable energy sources.

What is the equation of the line that passes through the point (4,−2) and has an undefined slope?

Answers

Undefined Slopes

When a line has an undefined slope, it means that it is a vertical line. Vertical lines are written in the following form:

[tex]x=d[/tex], where d is the x-interceptThe x-intercept of a vertical line is the value of x when y=0

Solving the Question

For any vertical line, the x-coordinate is constant. This means that for any point that falls on the line, the x-coordinate will always be the same.

If we're given that the line passes through the point (4,-2), this means that the x-coordinate for every piont this line passes through is 4.

In other words, the x-intercept of this line is 4.

[tex]x=4[/tex]

Answer

[tex]x=4[/tex]

The value of x in this system of equations is 1.
3x + y = 9
y = -4x + 10
Substitute the value of y in the first equation:
Combine like terms:
Apply the subtraction property of equality:
Apply the division property of equality:
3x + (-4x + 10) = 9
-X + 10 = 9
X
What is the value of y?

Answers

Answer:

y = 6

Step-by-step explanation:

y = -4(1) + 10 = -4 + 10 = 6

An energy bar company manufactures peanut butter and chocolate bars.

Peanut butter bars cost 25¢ per lb.
The chocolate bars cost 30¢ per lb.
The company sold 260 lbs of bars for $71.
How many of the bars sold were peanut butter?

Answers

Answer:

sold 120 chocolate bars

sold 140 peanut butter bars

Step-by-step explanation:

x = peanut butter bars

y = chocolate bars

x + y = 260, total lbs

0.25x + 0.30y = 71, money

solve double variable equation

multiply -4 on both sides for 2nd equation

-x + -1.2y = -284

add both equations together

-0.2y = -24

y = 120

x = 260 - 120

x = 140

sold 120 chocolate bars

sold 140 peanut butter bars

5x^2-10x=9x+4

Solve the quadratic equation by factoring

Answers

Answer:

x = 4 or - 1/5

Step-by-step explanation:

If you need help or want to see work you can go to Tiger algebra.

Hope it helped!

GAIL IS TO BRING 72 COOKIES TO A PARTY.IF THE COOKIES ARE PACKAGE 12 TO A BAG, HOW MANY BAG WILL SHE NEED?​

Answers

Answer:

6 bags

Step-by-step explanation:

72 divide by 12 equals 6.

helpppppppppppppppppppppp

Answers

Step-by-step explanation:

i) 0.0031 (or) 3.1×10^(-3)

ii) 0.0013 (or) 1.3×10^(-3)

I hope It helped you

Write the decimals in expanded notation 0.685

Answers

given:

[tex]0.685[/tex]

to find:

the expanded notation form.

solution:

[tex]0[/tex]

[tex] + 0.6[/tex]

[tex] + 0.08[/tex]

[tex] + 0.005[/tex]

it can be written as a sentence also,

0 + 0.6 + 0.08 + 0.005

On your vacation, you and your family go to a concert. The tickets cost $6 for adults and $2 for
children under 12. If 175 tickets were sold, totaling $750, how many adult tickets were sold?
How many children's tickets were sold?

Answers

Answer:
just divide 750 by 6 . And the answer is 125 tickets. 9
ust Step-by-step explanation:

3. 64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row, how many chairs could have been in each row? Explain your thinking​

Answers

If the number of the seats are vacant is 8. Then the number of chairs in a row will be 8.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row. Then the number of the chair in a row will be

Let the number of the row be x. Then we have

[tex]\rm \dfrac{64}{x} = 8\\\\\\x \ \ = 8[/tex]

Then the number of the row is 8.

More about the division link is given below.

https://brainly.com/question/369266

#SPJ1

Tell whether the angles are adjacent or vertical. Then find the value of $x$ .

Two lines intersect each other forming two pairs of opposite angles. The one pair of opposite angle is labeled left parenthesis x plus 3 right parenthesis degrees and 84 degrees.

Answers

Answer:

they are adjacent angles

Step-by-step explanation:

for adjacent angles

[tex]{(x + 3)}^{o} = {84}^{0} \\ x = 84 - 3 \\ x = 81[/tex]

Find all values of k for which the equation 3x2−4x+k=0 has no solutions.
This should be an inequality.

Answers

Answer:

k>4/3

Step-by-step explanation:

The given quadratic equation is:

3x^2 - 4x + k = 0

To find, the value of k = ?

you use

Discriminant, D =  - 4ac

=  - 4(3)(k)

= 16 - 12k

The condition of no solutions.

D < 0

16 - 12k < 0

16<12k

4/3<k

⇒ k>4/3

Weekly wages at a certain factory are
normally distributed with a mean of
of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makesbetween
$400 and $450.
[? ]%

Answers

Answer:

The probability that a worker makes between $400 and $450 is .3413 using the calculator and .34 using the empirical rule.

Step-by-step explanation:

There are two ways to approach this problem.

The first way is to find the z-score corresponding to $400 and $450 weekly wage and find the p-value in between these values.

[tex]\displaystyle \frac{400-400}{50} < z < \frac{450-400}{50}[/tex][tex]\displaystyle 0 < z < 1[/tex]

If you use the normalcdf function on your calculator and put 0 and 1 as the lower and upper bounds, respectively, you will get an area of .3413.

Another way of looking at this problem is to recognize that the weekly wages given are the mean and one standard deviation above the mean.

We can use the Empirical Rule, 68-95-99.7, in order to see that going one standard deviation above the mean would be an area of 68/2 = .34.

I've attached an image that shows you what the normal curve looks like.

Suppose y varies directly with x. If y = 12 when x = 4, find x when y = 24.

Answers

Answer:

x would equal 8.

Step-by-step explanation:

Since when y = 12, x = 8, when y is 24, it is multiplied by 2. Multiple the x by 2 and it would be 8.

A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before
falling down to the ground.
1. Which of these graphs represent this situation? Explain how you know in 2-3 sentences
|A
B
C
2. What would be appropriate labels for your x-axis?
3. What would be appropriate labels for your y axis?
4. According to your graph, roughly when does the ball hit the ground?

Answers

Answer:

1. answer is B because it is the only graph that represents the time stuck in the tree at a certain time then the continuous fall of the ball after falling out of the tree. 2. X-axis would be time or seconds 3. Y-axis would be height in air 4. 14 seconds after it was rhrown

Answer:

its B

Step-by-step explanation:

Have you smiled today? its very important:)

Two angles of a quadrilateral measure 60° and 160°. The other two angles are in a ratio of 3:11. What are the measures of those two angles?

Answers

Answer:

30  and 110 degrees

Step-by-step explanation:

The angles sum to 360 degrees

  you have   60 + 160 = 220    leaving   140 more in a ratio  3:11

     one is   3 / (3+11) = 3/14      3/14 * 140 = 30    the other is 110

what is the surface area of this cylinder ?

Answers

Answer:

87.92 mm²

Step-by-step explanation:

Given:

Radius of circular base: 2 millimetersHeight of cylinder: 5 millimeters

It should be noted:

Surface area of cylinder: 2πrh + 2πr²       (R = Radius; H = Height)

When the measures are substituted, we get the following expression:

⇒ 2π(2)(5) + 2π(2)²

Multiply the constants and substitute π as 3.14.

⇒ 20π + 2π(4)⇒ 20π + 8π⇒ 20(3.14) + 8(3.14)

Finally, simplify the expression to determine the surface area.

⇒ 20(3.14) + 8(3.14)⇒ 62.8 + 25.12⇒ 87.92 mm²

Answer:

88.0 mm² (nearest tenth)

Step-by-step explanation:

Surface area of a cylinder = [tex]2\pi r^2+2\pi rh[/tex]

where:

r = radiush = height

Given:

r = 2 mmh = 5 mm

Substitute given values into the formula:

[tex]\begin{aligned}\sf \implies SA & =2\pi (2)^2+2\pi (2)(5)\\ & = 8 \pi+20 \pi\\ & = 28 \pi\\ & = 88.0\:\sf mm^2\:(nearest\:tenth)\end{aligned}[/tex]

Find the area of the shaded shape. Write the area in square unit

Answers

Answer:

432 square feet

Step-by-step explanation:

Hello there.

Do you see those half shaded squares on the top? Those count as half a square.

Do 6 times 3 to get 24. Multiply 24 with 16 to get 384.

There are 6 half shaded squares which equals to 3 full squares. Multiply 3 and 16 to get 48. Lastly, add 384 with 48 to get your answer.

Hope this helped, Angelo

PLEASE PLEASEE ANSWER THE QUESTION IN THE PICTURE BELOW

which form most quickly reveals the vertex?

And what is the vertex??

Answers

Answer: Choice C

Vertex = (5, -2)

===============================================

Explanation:

Vertex form is [tex]y = a(x-h)^2 + k[/tex] where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have [tex]y= \frac{1}{2}(x-5)^2 - 2[/tex] which is the same as [tex]y = \frac{1}{2}(x-5)^2 + (-2)[/tex] and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)

5. One mile is 5,280 feet. Justin has a stride of 32 inches. How many steps will he take to run a 26-mile marathon? (1) 4,125 (2) 4,290 (3) 51,480 (4) 137,280 (5) 439,296​

Answers

Answer:

(3) 51,480

Step-by-step explanation:

One mile is equal to 5,280 feet, so 26 miles is equa

The area of a square is defined by, A(X) = x2 - 6x + 9. What is the length of a side of the square?
1- I-3
2- I +3
3- 2-9
3- x - 6

Answers

Answer:

Step-by-step explanation:

None of the answers look right to me unless you are given something I'm not aware of.

A(x) can be factored. When it is, the following is what is obtained.

A(x) = (x- 3)(x - 3)

Since the area of a square is

Area = s^2

where s is the length of the side, you can find the square root by using the rules of roots.

s^2 = (x - 3)(x - 3)

√s²= √(x - 3)²

√s² = s

√(x - 3)² = x - 3

Therefore the answer should be s = x-3

The only thing I think you can do is ask whoever is presenting the course how any of those answers are obtained.

Answer:

x-3

Step-by-step explanation:

thats what the guy above me's answer is to make it easier

BRAINLIEST+ STARS!!!

What is the volume of this cone? Use 3.14 for pi and round your answer to the
nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then
explain how you calculated it.

Answers

Answer:

I had two other people with the same question, so I'm gonna assume that the radius is 2 and the height is 8. Here is the answer: 39.5 in^3

Step-by-step explanation:

The formula for a cone is (pi)(r^2)(h/3)

Since we have to use 3.14 for pi, we plug 3.14 in for pi:

(3.14)(r^2)(h/3)

The radius is 2 and the height is 8, so we plug in those numbers:

(3.14)(2^2)(8/3)

Simplify:

(3.14)(4)(2.666...)

Multiply:

(12.56)(2.666...) -> 39.49333...

Finally, we round 39.49333... to the tenths place:

39.5

Hope this helps :)

Write a quadratic function with zeroes -8 and -6.
Write your answer using the variable x and in standard form with a leading coefficient of 1.
f(x) =

Answers

Answer:

see below

Step-by-step explanation:

zeroes =  -6 and  -8

y = (x+8)(x+6)   expand to

y = x^2 + 14x + 48

15. Roger, Luisa, Chin, and Wenona were playing a game. For each correct answer, a game plece could be moved ahead. The game pieces had been moved 2 dm, 15 cm, 75 mm, and 0.12 m. Roger's piece had moved 15 cm. Luisa's piece had moved farther than 75 mm. Chin's piece hadn't moved to 0.12 m. Wenona's piece had moved 2 dm. Order the students from first place to fourth place. To solve, convert all the measures to the same unit. HELP

Answers

Answer:

1. Wenonas piece: moved 20 cm

2. Rogers piece: 15cm

3. Luisas piece: <7.5cm

4. Chins piece: >12cm

this is the order, HOPE THIS HELPS!

During a period of inflation, the graph of the consumer price index (CPI) will
fall.
A. True
B. False
SUBMIT

Answers

I think the answer would be B

Answer:

B. Fakse

explanation:

In

inflation

, the CPI will rise. In deflation, the CPI will fall

The diameter of a circle is 222 units.
What is the radius of the circle?
units

Answers

Answer:

111

Step-by-step explanation:

divide by 2 to find the radius

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