Howard invested $2,500 in a local bank at a rate of 1.25% for 5 years. How
much interest will Howard earn in 5 years?

Answer:

180 cm^2

Step-by-step explanation:

Remark

If you put the slices that have been removed back into the figure, and figure out the resulting rectangle and subtract the slices, you get an answer that is easily calculated.

Note

The square on the upper right is 6 cm high. That makes the width of the rectangle 9 + 6 =  15. The length is already known as 15. So this square is 15 by 15 = 225

The lower right triangle is a little harder to handle. The total width is 15. The height of the triangle is 6 + 6. The first 6 comes from the square that was removed. The total with is 15. So the height of the lower right triangle is 15 - 12 = 3

Answer

The answer to the square on the upper left that was removed = 6*6 = 36

The answer to the triangle on the lower right is 1/2 * 6 * 3 =                    9

The total of the removed figues is 36 + 9 =                                              45

The area of the figure with both figures removed is 225 - 45 = 180 cm^2

9514 1404 393

Answer:

  k = 15

Step-by-step explanation:

Look for the missing factors that make all of the factors of 60k be squares.

  60 = 2² × 3 × 5

The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.

  60k = 2² × 3 × 5 × k

is a perfect square when ...

  3 × 5 = k = 15

For k = 15, 60k = 900 = 30²

Answer:

A = 642.01

Step-by-step explanation:

Given:

P = 500

r = 2.5% or 0.025

t = 10

Work:

[tex]A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01[/tex]

Answer:

Step-by-step explanation:

Answer:

Look at the image.

Step-by-step explanation:

24 ÷ 4 = 6

6 × 9 = 54

24 ÷ 3 = 8

8 × 5 = 40

Answer:

$230

Step-by-step explanation:

To find the average all you have to do is add all the numbers together in a given set then divide the total by the amount of numbers in the set.

Answer:

The predicted average price for 2014 is of $38,304.

Step-by-step explanation:

Linear model:

In a linear model, the average price increases by the same amount during each period.

In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715.

In a period of 6 years, the increase was of:

28715 - 19126 = $9,589

Based on a linear model, what is the predicted average price for 2014?

Another period of 6 years, so it will increase by 9589 more. Than

28715 + 9589 = 38304

The predicted average price for 2014 is of $38,304.

Answer:

80 cents

Step-by-step explanation:

Answer:

80 cents

Step-by-step explanation:

if you multiply 5 by 20 cents, you will get 100, now, if you know where I'm going, every time she buys 5 pencils she pays 20 cents, so if she buys 20 pencils, it will cost her 80 cents, Hope this helped! mark me brainiest if you can!

Answer:

D. 158.4 km²

Step-by-step explanation:

Area of sector = θ/360 * πr²

Where,

θ = 150°

r = 11 km

Substitute

Area = 150/360 * π * 11²

Area = 158.38863 ≈ 158.4 km² (nearest tenth)

Answer:

Step-by-step explanation:

h = 4.2 in

Volume = 3.6  cubic inches

[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]

r = 0.9 in

Answer:

.... ..................

30%....................................

Answer:  At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68

Step-by-step explanation: u divide

Answer:

Step-by-step explanation:

I believe the answer is 8 plantains. For $12 you can buy 24 plantains, for $24 you can buy 48 plantains. Now we know that it is going to be times 2. This means you could get 8 plantains.      

Hope this helps!

Answer:

5v=(-10;-5)

Step-by-step explanation:

&3*$*'hskjekfjcjcnnnnsnd

Answer:

Volume is 60ft³

Step-by-step explanation:

b²h/3

b=6

h=5

The volume of a square-based pyramid will be 180 ft³. Option D is correct.

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is the same as its base, then its volume is:

[tex]\rm V = B^2 \times h \\\ V = 6^2 ft \times 5 \ ft \\\ V=180 \ ft^2[/tex]

Learn more about the volume of a prism refer:

https://brainly.com/question/4113799

#SPJ2

Given:

The matrix equation is:

[tex]\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]

To find:

The value of matrix C.

Solution:

Let [tex]A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]. Then the given equation can be rewritten as

[tex]A-C=B[/tex]

[tex]-C=B-A[/tex]

[tex]C=-(B-A)[/tex]

[tex]C=A-B[/tex]

On substituting the values of the matrices, we get

[tex]C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-4&2&-7\end{bmatrix}[/tex]

Therefore, the correct option is C.

Answer: C

Step-by-step explanation: [ 4 2 -7 ]

9514 1404 393

Answer:

  90 m²

Step-by-step explanation:

The given linear dimensions have the ratio ...

  red/blue = (6 m)/(4 m) = 3/2

The ratio of areas is the square of the ratio of the linear dimensions:

  (red area)/(blue area) = (3/2)²

  S = (blue area)(9/4) = (40 m²)(9/4)

  S = 90 m²

Answer:

First, if we have a set of K elements, such that are ordered as:

{x₁, x₂, ...}

The total number of permutations for the K elements can be found in the next way.

For the first element in the set, we have K options.

For the second element in the set, we have (K - 1) options (because we already choose one)

For the third element we have (K - 2) options, and so on.

The total number of permutation is equal to the product between the numbers of options for each position's element, then the number of permutations for K elements is:

permutations = K*(K - 1)*(K - 2)*....*2*1 = K!

Now suppose that we have a set of N elements, and we want to make groups of K elements.

The total number of different combinations of K elements is given by the equation:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

In this case we have 15 objects (then  N = 15) and we take 7 at the time (Then K = 7)

Where we need to take in account the number of combinations and also the permutations for each combination.

Then the total number of different sets is:

C(15*7)*7!

First, the total number of combinations will be:

[tex]C(15,7) = \frac{15!}{(15 - 7)!7!} = \frac{15!}{8!*7!} = \frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1} = 6,435[/tex]

So we have 6,436 combinations, and each one of these combinations has 7! permutations.

permutations = 7! = 7*6*5*4*3*2*1 = 5,040

if we combine these we get:

Combinations*Permutations = 6,435*5,040 = 32,432,400

Answer:

7

Step-by-step explanation:

Answer:

576 cm³

Step-by-step explanation:

cone = 1/3x3.14x5x5x12=314

1/2 sphere = 1/2x4/3x3.14x5x5x5=262

314+262=576

Answer:

276

Step-by-step explanation:

that's the correct answer

Answer:<3

Step-by-step explanation: 280 is right on acellus

Answer:

What are you trying to find out? Like what do you mean by which one is right?

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

what in the world is this

Answer: Maybe asymptote means the lowest number and y-intercept means the second lowest and minimum means medium and maximum means the highest  number.

I'm sorry if this doesn't help but i'm still in 3rd grade.

Answer:$52.60

Step-by-step explanation: You have a initial cost of $42 and you have to add 30 %. When you add the 30 % you get 12.60 more dollars added to the amount. This will then give you an answer of $52.16.

Answer:

i think you should multiply 6cm by 8 cm by 10 cm ..sorry if it was not vlear but i try:)

Answer:

3sqft

Step-by-step explanation:

Note that you can draw the segment AH and notice that you have 2 triangles with base 2ft and height 1.5ft each.

The area will be 2 * (2ft * 1.5ft / 2) = 3sqft

Answer:

6 ft^2

Step-by-step explanation:

Area: A = (ab)/2 where a is the H-A and b is M-T

Plugin the numbers: A = (2 x 6)/2 = 6 ft^2

Answer:

(69.708 ; 74.292) ; 78% ; 350 ;

H0 : μ = 72

H0 : μ > 72

Pvalue = 0.8897

there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Step-by-step explanation:

99.5% confidence level, = 2.807

Sample size, n = 150

xbar = 72

Standard deviation, s = 10

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 2.807 * 10/sqrt(150)

Margin of Error = 2.292

Lower boundary = 72 - 2.292 = 69.708

Upper boundary = 72 + 2.292 = 74.292

(69.708 ; 74.292)

B.)

Confidence level of the interval (71, 73)

(72 - 71 ) or (73 - 72)

Margin of Error = 1

Margin of Error = Zcritical * s/sqrt(n)

1 = Zcritical * 10/sqrt(150)

1 = Zcritical * 0.8164965

Zcritical = 1 / 0.8164965

Zcritical = 1.2247

α = 0.22 = 1 - 0.22 = 0.78 = 78%

C.)

Margin of Error = ±1.5

1.5 = Zcritical * s/sqrt(n)

99.5% confidence level, = 2.807

1.5 = 2.807 * 10/sqrt(n)

1.5 = 28.07 / sqrt(n)

Square both sides

1.5² = 28.08² / n

2.25n = 788.4864

n = 788.4864 / 2.25

n = 350.4384

n = 350 samples

D.)

H0 : μ = 72

H0 : μ > 72

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(73 - 72) ÷ 10/sqrt(150)

Test statistic = 1.2247

Pvalue :

P(Z < 1.2247) = 0.8897

Pvalue > α

0.8897 > 0.005

We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

9514 1404 393

Answer:

  1. 5000

  2. the year is 2003

  3. > 1000; evaluate the function

Step-by-step explanation:

1. The value of t is "years since 2005." In 2005, the value of t is zero. To find the model's prediction for 2005, substitute t=0.

  p = 5000·2^0 = 5000·1

  p = 5000 . . . . in 2005

__

2. When t=-2, it means you're concerned with the population 2 years before 2005. That is, you are modeling the population in 2003.

__

3. Evaluate the function for t=-2:

  p = 5000·2^(-2) = 5000·1/4 = 1250

For t=-2, the fish population is 1250, which is more than 1000.

Answer:

9160.88

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Answer:

A≈9160.88

Step-by-step explanation:

A=πr^2=π·54^2≈9160.88418