Find the future value of an ordinary annuity of sh.25,000 at a compunding rate of 7% p.a. after 9 years?​

Answers

Answer 1

Answer:

  sh.299,449.72

Step-by-step explanation:

The future value of an ordinary annuity with annual payments P earning interest rate r compounded annually for t years is ...

  FV = P((1+r)^t -1)/r

For the given numbers, the future value is ...

  FV = sh.25000(1.07^9 -1)/0.07 ≈ sh.299,449.72


Related Questions


In your own words, explain how prime factorization is useful to find the greatest common factor and least common multiple.

Answers

Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number

So you can use the factor tree to find the GCF and LCM

The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number

What is  prime factorization?

Prime factorization is a process of writing all numbers as a product of primes. So, for example, say if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number.

here, we have,

we need to explain how prime factorization is useful to find the greatest common factor and least common multiple.

now, we know that,

gcf is: Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.

and,

lcm is : LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

so, we have,

Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.

So you can use the factor tree to find the GCF and LCM.

Hence, The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.

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Find the measure of ∠b.



A. 110∘
B. 102∘
C. 111∘
D. 121∘

Answers

Answer:

110 :)

Step-by-step explanation:

Triangle total angle measurement: 180

Now lets solve!

28 + 42 + ? = 180

70 + ? = 180

Now we have to subtract!!

180 - 70 = 110

Have an amazing day!!

Please rate and mark brainliest!!

Sum of all angles of triangle =180


28 + 42 + ∠b = 180
70 + ∠b = 180
∠b = 180 - 70
∠b = 110

Solve 5+ 4.7 (21 + 3x) = 41

Answers

x= -4.44680851 i think this is correct

Calculate the perimeter of the figure below 13 cm 18 cm 19 cm 5 5 cm 25 cm [1] 85 cm [2] 80 cm [3] 86 cm [4] 81 cm​

Answers

13 + 18 + 19 + (5x5) + 25 + 85 + (80x2) + (86x3) + (4x81)

13 + 18 + 19 + 25 + 25 + 85 + 160 + 258 + 324 = 927

perimeter =927cm

You just need to add all the edges together and times by the number of the edge when there is several of the same edge. Hope that makes sense.

IM STUCK CAN SOMEBODY SOLVE THIS EQUATION

Answers

Okay, so the first one will be 15,15
18,15. 21,18 22,25. 36,30 38,33 39,34
41,4-

Help picture below problem 9

Answers

Answer:

i think the answer might be E.

the answer is A option that is Angle M

please help me Find m

Answers

Answer:

60 degree is the value of m

Given h of x equals 3 times the square root of x plus 2 end root, which of the following statements describes h(x)?

The function h(x) is increasing on the interval (–∞, –2).
The function h(x) is decreasing on the interval (2, ∞).
The function h(x) is decreasing on the interval (–∞, 2).
The function h(x) is increasing on the interval (–2, ∞).

Answers

Answer:

The function h(x) is increasing on the interval (-2, ∞)

Step-by-step explanation:

Given function:  [tex]h(x)=3 \sqrt{x+2}[/tex]

We cannot square root a negative number, therefore the domain (x-values) is restricted:

[tex]x+2\geq 0 \implies x\geq -2[/tex]

Therefore, [tex]h(x)\geq 0[/tex]

⇒ The function h(x) is increasing on the interval (-2, ∞)

Answer:

FLVS ANSWER D-  The function h(x) is increasing on the interval (–2, ∞).

Step-by-step explanation:

you dont need one

At what interest rate must $112,000 be invested so that it will be worth $392,000 in 14 years?

Answers

Answer:

25%

Step-by-step explanation:

Simple interest= PRT/100

392,000=112,000*R*14/100

392,000=1120*14*R

392,000=15,680R

R= 392,000/15,680

R= 25%

How much pound sterling can be obtained while exchanging NRs250000 paying 2% commission?
(Buying rate: 1 pound=NRs 148.96) (Selling rate: 1 pound=NRs 149.74)​

Answers

Hope it helps best of luckkkkk

Pasang fixed the marked price of a watch Rs. 4000 and he sold it allowing a discount of 10%. Then he made a profit of Rs 400. Find the cost orice of the watch.​

Answers

Answer:

Cost Price = Marked Price -Discount - Profit

CP = 4000-400-400

Cost price = 3200

Rs. 3200

The answer iis in the above picture hope you like it. Pls mark brainliest

Is the a system of equations has no solution, the graph of the system are?​

Answers

Answer:

When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Simplify the following expression. 23 + 13 + 63 × 63 ÷ 6 =

Answers

Answer:

Here is the answer

Step-by-step explanation:

Which of the following is not a polynomial identity?
O A. a? (b+c) = a(®+c)
a
O
O B. (22+3)(c + dla) = (ac-bet)* + (ad + bc)
+
O C. 22 - B° = (a - b)(a2 + ab + b)
OD. (a+b)2 = 22 + 2ab+ b2
=

Answers

Answer:

A

Step-by-step explanation:

If we start from top to bottom all we have to do is check which ones are not equal.

The first one is

[tex]a^2(b+c) = a^3(\frac{b}{a}+c)[/tex]
If we multiply is out we get

[tex]a^2b+a^2c = a^3*\frac{b}{a}+a^3c\\\text{which turns into}\\a^2b+a^2c=a^2b+a^3c[/tex]

That is NOT equal to the other. Making the answer A.

can you please help me find the area. I put 141 but it says that i am wrong. Can anybody help and say what i did wrong.

Answers

Answer:

3120 think

Step-by-step explanation:

i just did 3x8x10x13

How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT put the dollar sign.)

Answers

Answer:

1265 i think

Step-by-step explanation:

add 11 15 times

Answer:165

Step-by-step explanation:

[tex]\sqrt{50} +\sqrt{18}[/tex]

Answers

Answer:

8 × square root of 2

Step-by-step explanation:

50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.

18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.

then we just find the sum

How would the following decimal read: 321.222

Answers

Answer:

Three hundred twenty-one and two hundred twenty-two thousandths.

Step-by-step explanation:

Take a glance at the image.

Please accept my apologies if it appears to look bad-

Please help me I will mark BRAINLY​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

5% of N 80000

= [tex]\frac{5}{100}[/tex] × 80000

= 0.05 × 80000

= N4000 ← VAT

(b)

total cost = 80000 + 4000 = N84000

A circular garden has a diameter of 10 feet. Approximately how much edging trim is needed to surround the garden by placing the trim all along the garden's circumference?

Answers

Answer:

31 feet

Step-by-step explanation:

circumference = pi × diameter

pi × diameter = 31.4 (10×3.14)

Answer: 31 ft

Step-by-step explanation:

circumference = pi × diameter

pi × diameter = 31.4 (10×3.14)

Convert the unit of length. Round the answer to one decimal place if necessary. Assume 1 yd ≈ 0.914 m.
8m≈ yd
8m≈________ yd ?

Answers

Answer:

8.75

Step-by-step explanation:

I divided 8 by .914 and got and estimate of 8.75

Explain how you know 1 5/8 is little greater than 1 1/2.

Answers

Answer:

1 5/8 is 1/8 greater than 1 1/2

Step-by-step explanation:

if we take off the one from both expressions, we're left with

5/8 and 1/2.

To better compare the fractions, we can make them have equal denominators. To do this, multiply both the numerator and denominator of 1/2 by 4: (1*4)/(2*4) = 4/8.

5/8 is larger than 4/8 by 1/8, therefore, 1 5/8 is larger than 1 1/2 by 1/8.

Step-by-step explanation:

1 5/8 is greater than 1 1/2 because if you draw 1 5/8 and on the bottom 1 1/2 you will see that 1 5/8 is greater.

Find the area of the figure.

Answers

answer:

804.980cm²

explanation:

attached

--

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An altitude of a triangle is a line or segment that passes through a vertex of
the triangle and is perpendicular to the line containing the opposite
Answer here

Answers

Answer: side

Step-by-step explanation:

I need help ASAP! I took a screenshot of the question and linked it.

Answers

Before we solve this problem:

    ⇒ let's figure out what all the variables in the equation stand for

t: number of years after initial rabbit populationr(t): number rabbits in 't' years

Question 16: How many rabbits will there be in 8 years?Since it is asking how many rabbits there be in 8 years

         ⇒ that means we substitute 8 into 't' of the equation

                 [tex]R(t) = 225e^{0.375t} =225e^{0.375*8} =225e^3 = 4519.2[/tex]

          *we will round down the number of rabbits since it is impossible to

           have 0.2 of a rabbit

       There will be 4519 rabbits in 8 years.

Question 17: When will the population be 15000?Since it asking for when the population or R(t) will be 15000

         ⇒ we substitute 15000 into 'R(t)' of the function and solve for 't'

                [tex]R(t) = 225e^{0.375t}\\15000=225*e^{0.375t}\\\frac{15000}{225} =e^{0.375t}\\ln(\frac{15000}{225})=0.375t\\ t = 11.2[/tex]

            *in this case, you want it to the nearest year, round it up since we

             asked for how many years, and if we were to say 11, the

            the population of rabbits wouldn't have reached that number yet,

           so we will round up to ensure that number has been reached by

           that year.

       

       It will take at least 12 years for the rabbit population to reach 15000

Hope that helps!

       

c. A detergent contains a mixture of chemicals: A, B and C in the ratio 4: 10:10. A bottle of detergent contains 1.8 litres of Chemical C. How much of chemical A and B does the bottle contain? 161​

Answers

Answer:

A = 0.72l B = 1.8l C = 1.8l

Step-by-step explanation:

A:B:C = 4:10:10

It means that B and C are equal

It is told that C contains 1.8 liters

B have to contain 1.8 liters too

1.8l*4/10 = 0.72l

You can also write it like this (this version is easier for me):

1.8l:10 = 0.18l

4*0.18l = 0.72l

Hope that I helped :)

What is the surface area of this prism?

Answers

Answer:

Step-by-step explanation:

front side: 6x3 = 18

back : 6x3 = 18

right:6x2 = 12

left:6x2 = 12

top: 3x2 =6

bottom: 3x2 =6

18 + 18 + 12 + 12 + 6 + 6

= 72

This year, a small business had a total revenue of 89,700 . If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?

Answers

Answer:

Revenue was 55,614 the year before

Step-by-step explanation:

Decay Formula: y = a*(1-r)^x

So:

y = 89700 * (1-0.38)^1

y = 55614

well, their total revenue last year was "x", which oddly enough is 100%.  Now, this year's revenue is 38% more than that, well, 100% + 38% = 138%, and we also know that it's 89700, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 89700& 138 \end{array} \implies \cfrac{x}{89700}=\cfrac{100}{138}\implies \cfrac{x}{89700}=\cfrac{50}{69} \\\\\\ 69x=4485000\implies x=\cfrac{4485000}{69}\implies x=65000[/tex]

At Gumdrops Galore candy store, Gina and her sister each fill a bag with gumdrops. Gina's bag of black gumdrops weighs 1 4 of a pound. Gina pays for both her gumdrops and her sister's red gumdrops. In all, Gina buys 3 8 of a pound of gumdrops. She wants to know how much her sister's red gumdrops weigh. Use an equation to find the weight of her sister's red gumdrops.

Answers

Answer:

1/8 of a pound

Step-by-step explanation:

Gina's bag of gumdrops : 1/4 of a pound

Gina's + sister's bag of gumdrops : 3/8 of a pound

To find how much her sister's gumdrops weighed, you will have to subtract fractions.

Equation : 3/8 - 1/4 or 3/8 - 2/8

To subtract, you need to make sure the denominators are the same.

1 × 2

-------  =  2/8

4 × 2

Now, you can subtract. Subtract the numerators.

3/8 - 2/8 = 1/8

So, Gina's sister's red gumdrops weigh 1/8 of a pound.

Hope this helped !

Gina's sister's red gumdrops weigh 1/8 of a pound.

How to determine the weight of Gina's sister's red gumdrops

Let's use an equation to find the weight of Gina's sister's red gumdrops.

Let x be the weight of Gina's sister's red gumdrops in pounds.

According to the information given:

Gina's bag of black gumdrops weighs 1/4 pound.

Gina pays for both her gumdrops and her sister's red gumdrops, totaling 3/8 pound of gumdrops.

Weight of Gina's gumdrops (black gumdrops) + Weight of sister's gumdrops (red gumdrops) = Total weight of gumdrops purchased

1/4 + x = 3/8

Solve for x

x = 3/8 - 1/4

To subtract fractions, we need a common denominator, which is 8:

x = (3/8) - (2/8)

x = 1/8

Therefore, Gina's sister's red gumdrops weigh 1/8 of a pound.

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evelyn invests $3200.00 in an account for 9 months at a 5% annual interest rate, what is evelyns total amount in her account at the end of the term?

Answers

Answer:

3320

Step-by-step explanation:

So, 9 months is 9/12 of a year which is 3/4.

Each month they get 5/12% of their total money, so 9x5/12=3.75%.

3320

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