Find the interest
earned:
$26,000 for 36 months
at 7.5% annual
compound interest

Answers

Answer 1

Answer:

Interest = $6,300 (Approx.)

Step-by-step explanation:

Given:

Amount deposit (P) = $26,000

Number of month = 36 month

Number of year (n) = 36 / 12 = 3 year

Rate of interest (r) = 7.5% = 0.075  

Find:

Interest  earned

Computation:

Interest = p[(1+r)ⁿ-1]

Interest = 26,000[(1+0.075)³-1]

Interest = 26,000[(1.075)³-1]

Interest = 6,299.71

Interest = $6,300 (Approx.)


Related Questions

Brand XYZ dog food cost $36 for 15 pounds of dog food. What is the cost per pound?

Answers

Answer:

2.4 per pound

Step-by-step explanation:

36÷15=2.4

how do i know this i used my brain

How many milligrams are in one-half a gram?

Answers

500 milligrams are in one half gram
500 milligrams are in one-half a gram

Shawn erned 5 dallors an hour mowing lawns pluse 10 welkly allounce from his parents what minmin number of hours he needs to mow in order to have enuf money to buy 75 dallars par of basketball sheows

Answers

Answer:

13 hours

Step-by-step explanation:

Since Shawn mows lawns at a rate of 5 dollars an hour, if he mows for t hours, he earns 5t dollars. Also, he gets 10 dollars weekly allowance from his parents. Thus, the total amount he earns per week is thus 10 + 5t.

Since he needs to earn enough to buy 75 dollars pair of basketball shoes, the amount he earns must equal the price of the shoes. So,

10 + 5t = 75

We now solve for t to find the amount of hours  if takes him to earn enough to buy the shoes.

So,

10 + 5t = 75

Subtracting 10 from both sides, we have

10 - 10 + 5t = 75 - 10

5t = 65

dividing both sides by 5, we have

t = 65/5

t = 13 hours

So, it takes Shawn 13 hours to earn enough to buy the shoes.

Gary is buying bananas at the grocery store. The bananas cost $0.89 per pound. What is the equation for the cost (y) of (x) pounds of bananas Gary buys?

a. y=0.89+x
b. y=0.89-x
c. y=0.89/x
d. y=(0.89)x

Answers

Answer:

d

Step-by-step explanation:

Jonathan borrowed $5 from a friend who is charging him 5% interest every day on the $5. If his friend takes 4 weeks to pay Jonathan back, how much will he owe him. Use I= PRT

Answers

Answer:

$1.00

Step-by-step explanation:

5 (0.05) (4)= $1.00

hope this helps


HELP ! How long is segment AB ?

Answers

Answer:

square root of (2+10)²+(-5+3)²

square root of 144+4

square root of 148

Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.
I need the bottom part

Answers

Answer:

y ≠ 9, y ≠ 3

Step-by-step explanation:

y² -12y +27 = (y - 9) (y - 3)

Denominator ≠ 0

y ≠ 9 or y ≠ 3

please help me. i'll give brainliest

Answers

The list that represents the simulation is (d) 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153

How to rearrange the list?

The list is given as:

860583 785814 010122 337198 621549 034076 796495 978078 433330 333153

To illustrate the simulation of four free throws, then each number on the list must have 4 digits

So, we have:

8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153

Hence, the list that represents the simulation of four free throws is (d)

Read more about random numbers at:

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Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.

Answers

Answer:

JKM is not a right triangle because KL + LM ≠ 15.3.

Step-by-step explanation:

Given

[tex]JK = 13[/tex]

[tex]JL = 5[/tex]

[tex]JM = 8[/tex]

Required

Determine if JKM is right-angles or not

Calculate length KL using Pythagoras theorem.

[tex]JK^2 = JL^2 + KL^2[/tex]

[tex]13^2 = 5^2 + KL^2[/tex]

Collect like terms

[tex]KL^2 = 13^2 - 5^2[/tex]

[tex]KL^2 = 144[/tex]

[tex]KL = 12[/tex]

Calculate length LM using Pythagoras theorem.

[tex]JM^2 = JL^2 + LM^2[/tex]

[tex]8^2 = 5^2 + LM^2[/tex]

Collect like terms

[tex]LM^2 = 8^2 - 5^2[/tex]

[tex]LM^2 = 39[/tex]

[tex]LM = \sqrt{39[/tex]

[tex]LM = 6.2[/tex]

[tex]KM = KL + LM[/tex]

[tex]KM = 12 + 6.2[/tex]

[tex]KM = 18.2[/tex]

If JKM is right-angled, then:

[tex]KM^2 = JK^2 + JM^2[/tex]

[tex]KM^2 = 13^2 + 8^2[/tex]

[tex]KM^2 = 233[/tex]

[tex]KM = \sqrt{233[/tex]

[tex]KM = 15.3[/tex]

[tex]15.3 \ne 18.2[/tex]

i.e

[tex]KL + LM \ne 15.3[/tex]

Hence: JKM is not right-angled

Answer:

C-JKM is not a right triangle because KL + LM ≠ 15.3

Step-by-step explanation:

if right mark as brainliest

Find the missing sides of each triangle. Leave your answers in radical form

Answers

Answer:

youbhave give me more information.

Answer:

incomplete question

please write the whole question or diagram of the question

The diagram shows a cuboid of volume Vcm (cubed)?
(a) Show that V = 15 + 16x-x(squared) - 2x (cubed)

Answers

Answer:

see explanation

Step-by-step explanation:

The volume (V) of the cuboid is calculated as

V = (2x + 5)(3 - x)(x + 1)

   = (3 - x)(2x + 5)(x + 1) ← expand the pair of factors using FOIL

    = (3 - x)(2x² + 7x + 5)

    = 3(2x² + 7x + 5) - x(2x² + 7x + 5) ← distribute parenthesis

    = 6x² + 21x + 15 - 2x³ -7x² - 5x ← collect like terms and rearrange

    = 15 + 16x - x² - 2x³

The volume of the cuboid is 15 + 16x - x² - 2x³

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume (V) of the cuboid is calculated as

Volume of cuboid is length times width times height.

V = (2x + 5)(3 - x)(x + 1)

= (3 - x)(2x + 5)(x + 1)

Expand the pair of factors using FOIL

= (3 - x)(2x² + 7x + 5)

= 3(2x² + 7x + 5) - x(2x² + 7x + 5) ←

Distribute parenthesis

= 6x² + 21x + 15 - 2x³ -7x² - 5x

Combine like terms and rearrange

= 15 + 16x - x² - 2x³

Hence, the volume of the cuboid is 15 + 16x - x² - 2x³

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Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

Sum of exterior angles of a polygon is 360°

#8

2x + 2(64°) + 36° + 48° = 360°2x + 212° = 360°2x = 360° - 212°2x = 148°x = 74°

#9

x + 73° + 109° + 90° = 360°x + 272° = 360°x = 360° - 272°x = 88°

Find the measure of the indicated angle. (image included)
I'm sorry I keep posting these it's just cause I don't understand still but i'm learning.

Answers

Answer: 88

The unknown angle in the left triangle is 80 since the sum of the angles in a triangle is 180.(180-60-40=80)

The unknown angle (the one that doesn't have a "?") is 36 since there's a straight angle which equals 180.(180-80-64)

Therefore the angle with the "?" is 88 since the sum of the angles in a triangle are 180(180-36-56)

Hope this helps!

In ΔQRS, r = 6.9 inches, ∠Q=40° and ∠R=101°. Find the area of ΔQRS, to the nearest 10th of an square inch.

Answers

Answer:

9.8 in²

Step-by-step explanation:

If A, B and C are the angles of a triangle and a, b, c are the repective sides opposite the angles, then the area of the triangle is given as:

Area = (1/2)absin(C)

In ΔQRS, the area is:

Area = (1/2)rqsin(S)

∠S + ∠Q + ∠R = 180° (sum of angles in a triangle)

∠S + 40 + 101 = 180

∠S = 39°

Using sine rule to find q:

[tex]\frac{q}{sinQ} =\frac{r}{sinR} \\\\\frac{q}{sin40}=\frac{6.9}{sin101} \\\\q=\frac{6.9*sin40}{sin101} =4.52 \ inches\\\\Area\ of\ triangle \ QRS=\frac{1}{2}rqsin(S) =\frac{1}{2}*6.9*4.52*sin(39)=9.8\ in^2[/tex]

y= 1/2x - 1
what's the slope and intercept. ​

Answers

Answer:

The slope is 1/2. The x-intercept is (2,0). The y-intercept is (0,-1)

Answer:

The slope is 1/2x and -1 is the (y) intercept

Step-by-step explanation:

Since y= 1/2x - 1 is already a linear equation (y=mx+b) you can use y=mx+b to find the slope and (y) intercept.

m is the slope and b is the intercept

I will give brainly

Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
r = 4 cm
4√2 cm
[? ]%

Answers

Answer:

Step-by-step explanation:

This probability will be the area of the square divided by the area of the circle.

[tex]P=\frac{(4\sqrt{2})^2}{\pi 4^2}\\ \\ P=\frac{32}{16\pi}\\ \\ P=\frac{2}{\pi }\\ \\ \text{As a percentage}\\ \\ P=\frac{200}{\pi}\\ \\ P\approx 63.7\% [/tex]

Write 4x10 to the power of 6 in decimal notation.

Answers

Answer:

Since the exponent of the scientific notation is positive, move the decimal point 66 places to the right.

4000000

The expression 4 x [tex]10^6[/tex] in decimal notation is 4,000,000.

We have,

In scientific notation, a number is expressed as a product of a decimal number and a power of 10.

In the given expression, 4 x [tex]10^6[/tex], the base number is 4, and it is multiplied by 10 raised to the power of 6.

To convert this into decimal notation, we need to multiply the base number (4) by the power of 10 ([tex]10^6[/tex]), which means moving the decimal point six places to the right.

Starting with 4, we move the decimal point six places to the right, resulting in 4,000,000.

Thus,

The expression 4 x [tex]10^6[/tex] in decimal notation is 4,000,000.

Learn more about expressions here:

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HELP ILL GIVE BRAINLIEST what’s the shape of the
Base?

Answers

Answer:

circle

Step-by-step explanation:

The shape of its base is Circle .

PLS HELP 20 points
Triangle ABC is a right triangle with right angle B and altitude BD. If DC =54, AC=60, find AB (x) and BD (y)

Answers

Answer:

Hey Mate!

tis is ur answrr!

I NEED YOUR OPINION PLEASE

okay , so I am 13 years old . I had gotten my cartilage pierced on both ears for my 13th birthday. Fast foward, I had asked my mom if I could get another cartilage piercing and my tragus pierced . She told me to ask my father. I did not . So I had pierced my tragus and my cartilage on my ear .. And my mom nor my dad has no clue I done it .

I just feel guilty hiding it from them , more so my mom ..


Can anyone give me advice on how to tell them PLEASEEEEEEEEEE

Answers

You're gonna get caught anyways, just come out. If you don't, figure out a way to undo it.

Some one plesae heelp!1

Answers

Option (b) 1.00

Step-by-step explanation:

3.4×1.00 = 3.4

Answer:

1.00

Step-by-step explanation:

1.00 equals one therefore the actual equation is 3.4x 1 = 3.4

Or 3.4x1.00=3.4

Hope this helps.

For this question, use the following functions.
f(x) = 2x + 6
g(x) = 4x2 – 9
Find a simplified expression for f(f(x)).
O 2x – 12
0 4x + 12
O 2x + 6
O 4x + 18

Answers

Answer:

4x + 18

Step-by-step explanation:

This is called a composite function, meaning passing the range of one function as a domain of another function.

For f(f(x)), the inner-function's range is passed as the domain of the outer function.

We can do so by substitution,

The range of f(x) can be written as 2x + 6 for any defined x values,

So we will substitute 2x  + 6 as the 'x' of another function which is in this case

f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into

4x + 18


Find the roots of f(x)=x^2 + 10x -96

Answers

the answer is b

explanation: i factored it

I need help I'm so confused

Answers

Answer:

Yeah me too buddy :(

Step-by-step explanation:

Jaime drew the number line below to show 2/3 4/5. Explain how the number line shows 2/3 times 4/5. What is the product?

Answers

Answer:

[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3} * \frac{4}{5} =[/tex]

The number line is missing from the question.

So, I will answer the question and also draw the number line to show the product.

[tex]\frac{2}{3} * \frac{4}{5} =[/tex]

[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]

To represent this on a number line;

We draw a number line of 15 points, and place a dot on the 6th point.

This represents 6/15

See attachment

Find the
Width (in feet)

Answers

Answer

62

Step-by-step explanation:

Find the average value fave of the function f on the given interval. f() = 5 sec2(/6), 0, 3 2

Answers

Answer:

[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

Step-by-step explanation:

To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3[tex]\pi[/tex]/2]

Proof -

We know that,

Average value of f in the interval [a, b] is -

[tex]f_{ave}[/tex] = [tex]\frac{1}{b - a}\int\limits^b_a {f(x)} \, dx[/tex]

Now,

Here a = 0, b = [tex]\frac{3\pi }{2}[/tex], f(x) = [tex]5sec^{2}(\frac{x}{6} )[/tex]

Now,

[tex]f_{ave}[/tex] = [tex]\frac{1}{\frac{3\pi }{2} - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[ {1 - 0 } ][/tex]

      = [tex]{\frac{10 }{3\pi }[/tex]

⇒[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

PLEASE HELP ME- In the diagram below,

Answers

Answer:

Step-by-step explanation:

There are 640 calories in 4 scoops of ice cream. At this rate, how many calories would there be in 9 scoops of ice cream?

Answers

Answer:

1,440 calories

Step-by-step explanation:

Divide 640 by 4 to get how many calories there are per scoop.

640 calories ÷ 4 scoops = 160 calories per scoop

Then, we can multiple 160 by 9 to get the calories in 9 scoops.

160 calories per scoop × 9 scoops = 1,440 calories per 9 scoops

Answer:

1,440‬

Step-by-step explanation:

A mix of factoring by grouping. Factor the exressions. 17ax+17a-x-1 Please explain/show steps on how to do this!
*edit: I know the answer to the problem because it was said aloud in a class, but I am not sure the steps to get there!

Answers

Answer:

[tex](x+1)(17a-1)[/tex]

Step-by-step explanation:

We are given that

[tex]17ax+17a-x-1[/tex]

We have to factorize the given expression.

Pair up the terms

[tex](17ax+17a)+(-x-1)[/tex]

Now, taking common factor

[tex]17a(x+1)-1(x+1)[/tex]

Taking common (x+1)

[tex](x+1)(17a-1)[/tex]

Now, we get

[tex](x+1)(17a-1)[/tex]

This is required factors of given expression.

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Let B represent the set of the number of runs allowed in all ten games he has started.Select the true statements.The median of Bis 1 run more than the median of A.The interquartile range of B is greater than the interquartile range of A.The interquartile range of A is 1 less than the interquartile range of B.The median of A is the same as the median of B.Including the runs allowed in the tenth game does not cause the spread of the data tochange What is the mode of these numbers, 4,9,3,9,3,3 (x+2)(x-3)(x+2)(x-3) The Article states:Woodhull achieved another first for women: She started a weekly newspaper andwrote articles for it. 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