Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 along with an interest of $243. What was the annual interest rate? Round your answer to one decimal place.

Answer: -25•2^n-1 is the awnser

The explicit formula of the geometric sequence is -25 × 2ⁿ⁻¹.

Let's find the explicit formula for the geometric sequence as follows:

-25, -50, -100,- 200, ...

Using the geometric sequence formula,

nth term = arⁿ⁻¹

where

Therefore,

a = -25

r = -50 / -25 = 2

Hence,

nth term = -25 × 2ⁿ⁻¹

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Answer:

Variability

Step-by-step explanation:

Variability in simple terms may be described as differences in measurement or reading of a certain construct or phenomenon. Variability measures include range, standard deviation or variance. In most cases, variation or degree of Variability is measured about a central value called the mean. This is because same measurement about a certain phenomenon or study would usually not yield the same result value. Hence, the mean is used to record the average of these measurement and the differences in each measurement from the mean is also recorded, this is called the standard deviation which is a Variability measure.

Thus VARIABILITY means successive observation of a phenomenon do not yield exactly the same result.

Answer:

13 = x      15 - x = 2

Step-by-step explanation:

15-x=2

15-13=2

Answer:

x = -1

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

it can't be 36 as the answer, and the next multiple before 36 is 32. And if you do 32 divided by 4 then you get 8. The answer is 8 hours.

Answer:

y = 60°

x = 12

Step-by-step explanation:

opposite angles of a parallelogram are equal

opposite sides of a parallelogram are equal

Answer:

27.5 inches

Step-by-step explanation:

The circle's "radius" refers to the distance from the center towards the circumference. Once the diameter of a circle is given, it is easy to get the radius. In order to get the length of the circle's radius, all you have to do is to divide the diameter (55 inches) into two.

Therefore, the circle's distance from the center towards the circumference is 27.5 inches. This is the radius.

Answer:

The cost of 80 oranges =  480 nairas

Step-by-step explanation:

Given

The cost of 5 oranges = 30 naira

Determine

The cost of 80 oranges

Given that the cost of 5 oranges = 30 naira

so,

Unit rate = 30 nairas / 5 oranges

               = 6 nairas per orange

∴ The cost of 1 orange = 6 nairas

As the cost of 1 orange = 6 nairas

Thus,

The cost of 80 oranges = 6 × 80 = 480 nairas

Hence,

The cost of 80 oranges =  480 nairas

Answer:

[tex]c = 2[/tex]

Step-by-step explanation:

In order to find the answer to this question you must add 7 on both sides.

[tex]c-7=-9[/tex]

[tex]+ 7 + 7[/tex]

[tex]-9 + 7 = -2[/tex]

[tex]c = -2[/tex]

Hope this helps.

Step-by-step explanation:

the answer of this question is 5.39

Answer:

x=2y

Step-by-step explanation:

Answer:

“Oh, the bells, bells, bells!

What a tale their terror tells

Of Despair!

How they clang, and clash, and roar!

What a horror they outpour

On the bosom of the palpitating air!

Yet the ear it fully knows,

By the twanging,

And the clanging,

How the danger ebbs and flows;

Yet the ear distinctly tells,

In the jangling,

And the wrangling.”

Step-by-step explanation:

Bam!

went the branch in the night

Swoosh!

goes the wind out of sight

Boom!

says the thunder while it rains

Bang!

when the lightning hits the frame

Slosh!

muddy ground dirty feet

EEK!

screams the children ankle-deep

Splish!

goes the puddles under feet

Squeak!

goes the rubber boots

Ugh!

goes the parents when they're done

Snore!

goes the little tired ones

Answer:

24,823

Step-by-step explanation:

Since we know the answer and the what we're subtracting from we can make an equation like this 65,823 - b = 41,000. Now you solve it by subtracting 65,823 - 41,000 = b. 24,823 = b because if we were to add the smaller numbers like this: 41,000 + 24,823 we would get 65,823 making our answer correct.

Answer:

-2

Step-by-step explanation:

2-4=-2

Answer:

2

Step-by-step explanation:

Answer:

First the line is positive so you can eliminate all negative choices for slope

Now start from a random point that lands on the graph

Now it can’t be 1 becuase it has am extra box but that line isn’t on a point

Now 1/2 it can’t be becuase if you rise 1 and go right 2 it’ll not land ona. Point

But for 2, you rise up 2 and right 1 and you land on a point on the graph so the final answer is 2

Answer:

384 cm^3

Step-by-step explanation:

(16 times 4) times 6 = 384   :D

Answer:

19.6

Step-by-step explanation:

Answer:

what hcomp10 said he is right

Step-by-step explanation:

Answer:

(100-m)+(45+n)

Step-by-step explanation:

100 -n and 45-m. You would have to add them together to get the amount of the shares.

Answer: [tex]0.416655[/tex]

Step-by-step explanation:

If random variable X has the binomial distribution B(n, p), then

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]

, where  n= Total number of trials, x = number of successes , p= probability of success in each trial.

Given: The random variable R has the binomial distribution B (12,0.35).

n= 12, = 0.35

[tex]P(R>4)=1-P(R\leq4)\\\\=1-[P(R=0)+P(R=1)+P(R=3)+P(R=4)]\\\\\\=1-[^{12}C_0(0.35)^{0}(1-0.35)^{12}+^{12}C_1(0.35)^{1}(1-0.35)^{11}+^{12}C_2(0.35)^{2}(1-0.35)^{10}+^{12}C_3(0.35)^{3}(1-0.35)^{9}+^{12}C_4(0.35)^{4}(1-0.35)^{8}]\\\\= 1-[(1)(0.65)^{12}+(12)(0.35)(0.65)^{11}+\dfrac{12!}{2!10!}(0.35)^2(0.65)^{10}+\dfrac{12!}{9!3!}(0.35)^3(0.65)^{9}+\dfrac{12!}{8!4!}(0.35)^4(0.65)^{8}]\\\\=1-0.583345\\\\\approx0.416655[/tex]

Hence, P(R>4)=0.416655

Answer:

a = 2

b = 3

c = -20

Step-by-step explanation:

9514 1404 393

Answer:

  second step is wrong; x = 5

Step-by-step explanation:

The correct solution is ...

  3(x -3) +9 = 15

  3x -9 +9 = 15 . . . . . . . not 3x -3

  3x = 15

  x = 5

_____

Jeremy did what a lot of students do -- failed to apply the outside factor to all of the terms in parentheses.

Answer:

[tex]P(x = 1) = 0.10[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccc}x & {1} & {2} & {3} & {4} \ \\ P(x) & {0.10} & {0.30} & {0.40} & {0.20} \ \ \end{array}[/tex]

Required

Determine the probability of selling exactly 1 batch

This probability is represented with [tex]P(x = 1)[/tex]

From the table:

When x = 1; P(x) = 0.10

Hence:

[tex]P(x = 1) = 0.10[/tex]

In other words, the probability of selling exactly 1 is 0.10

Using the law of sines, equation A). [tex]\frac{sin(51)}{2.6} = \frac{sin(76)}{z}[/tex] is correct and can be used to solve for the value of z.

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides. It is also known as the sine rule.

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Similarly, In triangle XYZ,

[tex]\frac{sin(51)}{2.6} = \frac{sin(76)}{z}=\frac{sin(53)}{x}[/tex]

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Answer:

The answer is B

Step-by-step explanation

As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.