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Lunna [17]
2 years ago
5

the amount of each payment to be made into a sinking fund which earns 9​% compounded quarterly and produces ​$43 comma 000 at th

e end of 3.5 years. Payments are made at the end of each period.
Mathematics
1 answer:
Blizzard [7]2 years ago
6 0

Answer:

$2647.18

Step-by-step explanation:

Data provided in the question:

Rate = 9% compounded quarterly

interest rate per period, i = 9% ÷ 4 = 2.25% = 0.0225

Future value = $43,000

Time = 3.5 years

Number of periods,  = 3.5 × 4 = 14

Now,

Let the annual payments be 'A'

Thus,

Future value = A × [ (1 + i)ⁿ - 1 ) ÷ i ]

or

$43,000 = A × [ (1 + 0.0225)¹⁴ - 1 ) ÷ 0.0225 ]

or

$43,000 = A × 16.244

or

A = $2647.18

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A rectangular field is 450 meters long and 300 meters wide. What is the area of the field in square kilometers?
rodikova [14]
First you multiply 450 m ×300 m= 135,000 m
Then you convert to Kilometers 135,000 ÷1,000= 135 Kilometers

So the answer is 135 Kilometers
7 0
3 years ago
nikki has four clients and each appointment is 90 minutes how long will it take her to serve four clients​
Masteriza [31]

Answe360

Step-by-step explanation

If you multiply 90 by 4, you get 360 think of it as for groups with 90 in them.

8 0
2 years ago
ABCD is a parallelogram. If ad = 2x + 10 and CD = 4x - 20, for what value of x will abcd be a rhombus
dimaraw [331]

Answer:

15

Step-by-step explanation:

All sides of a rhombus are equal, so

2x+10=4x-20 \\ \\ 10=2x-20 \\ \\ 2x=30 \\ \\ x=15

3 0
9 months ago
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
MAXImum [283]
<span>f(k) = k2 + 2k + 1 = (k+1)^2
The range is what the function gives to you f(k)=25=5^2 or (-5)^2
f(k)=64=8^2 or (-8)^2

You need to find the k values for these boundary values to find the domain. 
Good luck :)</span>
7 0
3 years ago
Mrs. Lin is sewing costumes for her grandchildren. She is making three lion costumes, one zebra costume, and two bear costumes.
stepladder [879]

Answer:

12\frac{1}{8}\ yd

Step-by-step explanation:

we know that

The total fabric that Mrs. Lin needs is equal to

3(1\frac{2}{3})+2\frac{5}{8}+2(2\frac{1}{4})

Convert mixed number to an improper fraction

1\frac{2}{3}=1+\frac{2}{3}=\frac{5}{3}

2\frac{5}{8}=2+\frac{5}{8}=\frac{21}{8}

2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}

substitute

3(\frac{5}{3})+\frac{21}{8}+2(\frac{9}{4})

5+\frac{21}{8}+\frac{9}{2}

\frac{40+21+36}{8}=\frac{97}{8}\ yd

Convert to mixed number

\frac{97}{8}\ yd= \frac{96}{8}+\frac{1}{8}=12\frac{1}{8}\ yd

4 0
3 years ago
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