Find the balance in the account.

$4,100 principal earning 2.25%, compounded semi-annually, after 12 years

a. $5,362.76

b. $5,354.80

c. $4,689.07

d. $100,614.00

Answers

Answer 1

Answer:

[tex]A = P(1 +\frac{r}{n})^{nt}[/tex]

P = 4100

r = 2.25% = 0.0225

n= 2

t= 12

[tex]A = 4100(1 + \frac{0.0225}{2})^{24}\\[/tex]

   [tex]= 4100 *1.01125^{24}\\\\= \$ 5362.76[/tex]

Option a.


Related Questions

Mark needs to use eye drops. Does it make sense to have a few drops of one milliliter in each eye? explain .

Answers

It would be too much.

According to www.cambridgeshireandpeterboroughccg.nhs.uk purely as a reference for this: Each eye drop should only be about 0.05 mL.

This is much less than 1 mL, so Mark is using putting far too much eye drop liquid into his eyes.

need help with this one too

Answers

Answer:

B.

Step-by-step explanation:

Don't doubt me... jwust twust me

50+50+8x+8=180

180-108=8x

x=9

Ur lucky... I explained

Pweeeeeeeeeeeeese mwake me da bwainliestttttttttttt

Find the perimeter of the rectangle.

Answers

Answer:

38 cm

Step-by-step explanation:

12 * 2 = 24

7 * 2 = 14

24 + 14 = 38

how long will a sum of rs 5000 take to amount to rs 8750 at rate of 15./. per year​

Answers

Answer:

sum of money(principal)=rs5000

amount=rs8750

rate=15%

to find interest use forrmula,

amount=principal+interest

rs8750=rs5000+interest

rs8750-rs5000=interest

rs3750=interest

to find time use formula,

interest=p*t*r/100

rs3750=rs5000*t*15/100

rs3750*100=rs75000*t

rs375000/rs75000=t

5=t

Step-by-step explanation:

therefore the sum of money rs5000 amount to rs8750 at the rate of 15% after 5 years

what’s the y intercept and slope of all the questions

Answers

Answer:

1)9/3 yint 9 2)3/1 yint 7 3)1/1 yint 5

Write your answers in the spaces provided.
1 Adam works for a car trading company.
He has this information about the number of cars sold by the company in the
first six months of 2017
NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AL
Jan
Feb
Mar
Apr
May
Jun
31
28
46
52
44
62
Number of cars sold
Adam says
The mean number of cars sold each month in this period was
more than 42
The number of cars sold in June 2017 was more than of the number
of cars sold from the beginning of January to the end of June.
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
(a) Is Adam correct?
Show why you think this.​

Answers

Answer:

Yes adam is correct, because from January to June the cars sold are more and increased

while the mean is the addition of all the cars sold in(Numbers) the six month and divided by six(6) month

Please help me on this problem

Answers

Answer:

A square

Step-by-step explanation:

When the points are graphed, the side lengths form a square.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

3, a square

Step-by-step explanation:

The X coordinates always start at either positive or negative 3, which means they are equally seperated on the X axis. Then the Y coordinates start at positive 4 for the first 2, and then -2 for the 3rd and fourth. They are all 6 units  away, which leads to it being a square since each side is equal.

In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.

Answers

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

[tex]\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}[/tex]

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

[tex]j = \sqrt{99.45}[/tex]

j = 9.97

[tex]\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}[/tex]

[tex]{9.97 \times Sin (L ) = (2.7 \times Sin \ 43)[/tex]

[tex]= Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ = Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 } \\ \\ = Sin \ L = 0.18466 \\ \\ L = Sin^{-1} (0.18466) \\ \\ L = 10.64 ^0[/tex]

What is the surface area of the solid shown below?

Answers

Answer:

[tex]\text{C. }156\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]

Find the volume of the cone. Round to the nearest tenth.
2 ft. 14ft
Volume: ft3

Answers

the volume is 410.5 ft^3

We often deal with weighted​ means, in which different data values carry different weights in the calculation of the mean. For​ example, if the final exam counts for​ 50% of your final grade and 2 midterms each count for​ 25%, then you must assign weights of​ 50% and​ 25% to the final and​ midterms, respectively, before computing the mean score for the term. Apply the idea of weighted mean in the following exercise.

A student is taking an advanced anatomy class in which the midterm and final exams are worth 30% each and homework is worth 40% Of his final grade. On a 100-point scale, his midterm exam score was 82.5, his homework average score was 91.6, and his final exam score was 88.6.

Required:
a. On a 100-point scale, what is the student's overall average for the class?
b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?

Answers

Answer:

a) The student's overall average for the class is 87.97.

b) He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.

Step-by-step explanation:

Weighed average:

To solve this question, we find the student's weighed average, multiplying each of his grade by his weights.

Grades and weights:

Scored 82.5 on the midterm, worth 30%.

Scored 88.6 on the final exam, worth 30%.

Scored 91.6 on the homework, worth 40%.

a. On a 100-point scale, what is the student's overall average for the class?

Multiplying each grade by it's weight:

[tex]A = 82.5*0.3 + 88.6*0.3 + 91.6*0.4 = 87.97[/tex]

The student's overall average for the class is 87.97.

b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?

Score of x on the final class, and verify that the average could be 93.5 or higher. So

[tex]A = 82.5*0.3 + 88.6*0.3 + 0.4x[/tex]

[tex]A \geq 93.5[/tex]

[tex]82.5*0.3 + 88.6*0.3 + 0.4x \geq 93.5[/tex]

[tex]0.4x \geq 93.5 - (82.5*0.3 + 88.6*0.3)[/tex]

[tex]x \geq \frac{93.5 - (82.5*0.3 + 88.6*0.3)}{0.4}[/tex]

[tex]x \geq 105.425[/tex]

He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.

Can anyone help? I’ll give Brainly :)

Answers

Answer:

1.3%

Step-by-step explanation:

Find the annual dividend by taking the quarterly dividend and mulitplying it by 4

.05*4= .2

divide that by the share price

.2/15= .013333333333333333333

which rounds to 1.3%

A computer technician notes that 40% of computers fail because of the hard drive, 20% fail due to the processor, 15% of problems are with the keyboard, and 5% of problems are due to something else. What is the mean of the number of computers he will work on before seeing his first computer that has failed because of the hard drive?

Since there are four categories, the technician can expect 4 computers until one has failed due to the hard drive.
Since 40% is equivalent to Two-fifths, it is expected that Five-halves = 2.5 computers until one has failed due to the hard drive.
Since the highest percentage of failure is due to the hard drive, the technician can expect that the first computer will have failed due to the hard drive. So the expected value is 1.
Since it is more likely that a computer has failed due to some other issue, the technician can expect the first computer to fail due to some other issue, and the second to fail due to the hard drive. So the expected value is 2

Answers

Answer:

Answer is b

Step-by-step explanation:

A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?

Answers

Answer:

[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]

Answer:

1.24 ft

Step-by-step explanation:

the volume of sphere = 4/3π.r³ = 1

=> r³ = 3/(4π)= 3/(12.56) = 0.239

r = ³√0.239

r = 0.62

d = 2×0.62 = 1.24 ft

66 cm
Is this radius or diameter?
1
2
Diameter
Radius
Zoom in
If the line is going straight across the circle, is it the radius or diameter?

Answers

diameter so i’m assuming it’s one :)

Hey I need this answered fast!! and if u please could help me I have more questions similar to this one on my page

Answers

Answer:

B and E

Step-by-step explanation:

The zero of a function is whatever point on the function where the y-value is zero. Hope this helped.

A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure. My kid needs help with this.

Answers

Answer:

Hi

Step-by-step explanation:

Is there like a multiple choice so I could answer it:)

How many solutions does 7 - 4x = 2 + x + 6 - 5x have?
A. One solution
B. Infinitely many solutions
C. Two solutions
D. No solutions

Answers

Answer:

D) No Solution.

Step-by-step explanation:

7-4x=2+x+6-5x

7-4x=8+x-5x

7-4x=8-4x

7-8-4x=-4x

-1-4x=-4x

-1=-4x+4x

-1=0

no solution

Find the measure of 0. Round answer to the nearest tenth. Please help!

Answers

Answer:

70.8°

Step-by-step explanation:

From the triangle,

We are given the hypotenus and the angle opposite θ

Using Trigonometry:

Hypotenus and opposite are related by :

Sinθ = opposite / hypotenus

Sinθ = 17 / 18

θ = sin^-1(17/18)

θ = 70.811°

θ = 70.8°

The graph shows the relationship between
the volume of coffee in a cup and the length
of time Cassie pours coffee into the cup.
milliliters
200
150
100
50+
(1,50)
seconds
1
2
3
What does 50 mean in this situation?

Answers

Answer: A

Step-by-step explanation:

I did it already

Answer:

A

Step-by-step explanation:

Is this triangle acute, right, or obtuse?

NEED HELP WITH THIS!!!!!! 50 points!!!!!!

A. Acute

B. Right

C. Obtuse

Answers

Answer:

acute

hope this helps

have a good day :)

Step-by-step explanation:

I need help help me please and no links please or I will report you

Answers

Answer:

Length: 11 meters

Width: 8 meters

Step-by-step explanation:

11 + 11 + 8 + 8 = 38

8 + 8 = 16

16 - 11 = 5


45 POINTS
Click on the measure of the angle.

Answers

Answer:

Ha ha ha ha ha

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So tell me what you want, what you really, really want

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(Gotta get with my friends)

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So tell me what you want, what you really, really want

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I wanna really, really, really wanna zigazig ah

If you wanna be my lover, you gotta get with my friends

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If you wanna be my lover, you have got to give

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Taking is too easy, but that's the way it is

So, here's a story from A to Z

You wanna get with me, you gotta listen carefully

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If you wanna be my lover, you gotta get with my friends

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Step-by-step explanation:

Which choice is equivalent to the fraction below when X is an appropriate value? Hint: Rationalize denominator and simplify

Answers

Answer:

Option A. –2 – 2√2

Step-by-step explanation:

√8 / √2 – 2

The above expression can be simplified as follow.

√8 / (√2 – 2)

Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:

√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)

√8(√2 + 2) / (√2 – 2)(√2 + 2)

√16 + 2√8 / 2 + 2√2 – 2√2 – 4

√16 + 2√8 / 2 – 4

√16 + 2√8 / –2

Recall

√16 = 4

√8 = √(4×2) = √4 × √2 = 2√2

Thus,

√16 + 2√8 / –2 = 4 + 2×2√2 / –2

= (4 + 4√2) / –2

= 4/–2 + 4√2/–2

= –2 – 2√2

Therefore,

√8 / (√2 – 2) = –2 – 2√2

Thus, option A gives the correct answer to the question.

NEED HELP‼️‼️ 20 points‼️
Find the measurement of the angle indicated for each trapezoid.

Answers

Answer:

Simple it would be 76x - 1 whatever that is, and 72x + 3 which u shuld get like uh 75x, and 75x again on both so its 75x

PLEASE DONT QUOTE ME ON THIS

Xoxo~May

Step-by-step explanation:

la suma de tres números enteros consecutivos es -756. ¿Cuáles son los números?

Answers

Answer:

Which means that the first number is 251, the second number is 251 + 1 and the third number is 251 + 2. Therefore, three consecutive integers that add up to 756 are 251, 252, and 253. 251 + 252 + 253 = 756 We know our answer is correct because 251 + 252 + 253 equals 756 as displayed above.

Step-by-step explanation:

Identify the asymptotes of each function.

Answers

Answer:

It would be x=3, f(x)=0

Step-by-step explanation:

This is because an asymptote is the line where a function is approaching infinity towards.

On the graph, you see that the function it stretching out towards what is x=3, along with the x axis, which is f(x)=0.

You shot a space capsule into an orbit around the space station.
The total weight of the capsule was 1,330 kilograms. If the devices
on board to regulate speed weighed one fourth as much as the fuel
tank and the power unit weighed one half as much as the fuel tank,
how much did the power unit weigh?
In this word problem, what are you asked to find?
CD
The weight of the power unit
b
The weight of the devices to regulate speed
с
The weight of the capsule
d
The weight of the container

Answers

I don’t honestly know the answer to this question

Help please this question is confusing

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Im pretty sure but dont rely on this answer

WILL


GIVE BRAINLIST ANSWER-

Answers

B



Explanation
I will explain if you want me to
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