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Arisa [49]
2 years ago
10

If $10,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of in

terest, in dollars, that will be earned by this investment in the n years?
A. 10,000(x^n)B. 10,000(x/100)^nC. 10,000n(x/100)D. 10,000(1+x/100)^n E. 10,000n(1+x/100)
Mathematics
1 answer:
Ganezh [65]2 years ago
4 0

Answer: C. 10000n\dfrac{x}{100}

Step-by-step explanation:

Given : The principal amount : P=$10,000

Rate of interest (in percent ) : x

Time period :  n years

The formula to calculate the simple interest is given by :-

S.I.=\dfrac{P\times R\times T}{100}

\Rightarrow\ S.I.=\dfrac{10000\times x\times n}{100}

it can also be written as \Rightarrow\ S.I.=10000n\dfrac{x}{100}

Hence, C is the right option.

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Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at
pishuonlain [190]

Answer:

t = 0.53 hr

Step-by-step explanation:

We write expressions for the distances walked by these two people, sum them up and set the sum equal to 4 miles:

(3.5 mph)(t) + (4mph)(t) = 4 mi

Combining these terms:  

(7.5 mph)(t) = 4 mi

                               4 mi

Solving for t:  t = ---------------- = 0.53 hr

                              7.5 mph                              

5 0
1 year ago
Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values
Luba_88 [7]

Answer:

The standard deviation from the mean is the square root of the variance.

Therefore, SD = sqrt(VAR) = sqrt(36) = 6

Hope this helps!

:)

4 0
2 years ago
Read 2 more answers
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7
AlexFokin [52]

Answer:

(7 x 2.85) + 5v = 28.70. 19.95 + 5v = 28.70. 5v = 28.70 - 19.95. 5v = 8.75. v = 8.75/5. v = 1.75. A pint of veggies costs $1.75.

6 0
2 years ago
Compute i^1+i^2+i^3....i^99+i^100
fgiga [73]

Good morning ☕️

Answer:

<h3>i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰ = 0</h3>

Step-by-step explanation:

Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰

S =  i¹ +  i² +  i³ + . . . + i⁹⁹  +  i¹⁰⁰

S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀

then, S is the sum of 100 consecutive terms of a geometric sequence (an)

where the first term a1 = i¹ = i  and the common ratio = i

FORMULA:______________________

S=(term1)*\frac{1-(common.ratio)^{number.of.terms}}{1-(common.ratio)}

_______________________________

then

S=i*\frac{1-i^{100} }{1-i}

or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1  (we know that i⁴ = 1)

Hence

S = 0

7 0
2 years ago
For a display, identical cubic boxes are stacked in square layers. Each layer consists of cubic boxes arranged in rows that form
serg [7]

Answer:

285  boxes are in the display

Step-by-step explanation:

Given data

top layer box = 1

last row box = 81

to find out

how many box

solution

we know that every row is a square so that if the bottom layer has 81 squares it mean this is 9² and every row has one lesser box

so that next row will have 8^2 and than 7² and so on till 1²

so we can say that cubes in the rows as that

Sum of all Squares = 9² + 8² +..........+ 1²

Sum of Squares positive Consecutive Integers formula are

Sum of Squares of Consecutive Integers = (1/6)(n)(n+1)(2n+1)  

here n = 9 so equation will be

Sum of Squares of Consecutive Integers = (1/6) × (9) × (9+1) × (2×9+1)

Sum of Squares of Consecutive Integers = 285

so 285  boxes are in the display

7 0
2 years ago
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