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sergey [27]
2 years ago
15

Rita deposits $800 into an account that pays simple interest at a rate of 3% per yearHow much interest will she be paid in the f

irst 3 years?
Mathematics
1 answer:
grin007 [14]2 years ago
6 0

Answer: $72

Step-by-step explanation:

Simple interest (I) is calculated as Principal × Rate × Time.

From the question, Principal = $800

Rate =3% = 3/100= 0.03

Time =3 years

Slot in the values into the formula;

I = 800 x 0.03 x 3

I= $72

I hope this is clear

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it's 3,4,5,8 on edge 2022

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2 years ago
What is the solution to the equation?
Gelneren [198K]

Answer:

Hello,

answer B

2

Step-by-step explanation:

\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\

3 0
3 years ago
Factor 64 - P.<br> (8 - x(8 - x)<br> (8 + x (8 - x)<br> (X + 8)(x-8)
muminat

Question:

Factor 64-x^2

(8 - x)(8 - x)

(8 + x) (8 - x)

(X + 8)(x-8)

Answer:

Option B: (8+x)(8-x) is the factor

Explanation:

Given that the expression is 64-x^2

We need to find the factor of the given expression.

Let us rewrite the expression as 8^2-x^{2}

Since the expression is of the form a^2-b^2, let us use the identity a^2-b^2=(a+b)(a-b)

where a = 8 and b = x

Substituting the values in the identity, then the expression can be written as

8^2-x^{2}=(8+x)(8-x)

Thus, the factor of the expression is (8+x)(8-x)

Hence, Option B is the correct answer.

4 0
2 years ago
For the purpose of purchasing new baseboard and​ carpet, complete parts a and b below.
Phantasy [73]

Answer:

(a)i. Area=72 square feet

ii. Perimeter =34 feet

(b) Baseboard - perimeter

Carpet - area

Step-by-step explanation:

The room is 9ft x 8ft, therefore it is rectangular shaped.

Length=9ft; Breadth=8ft

(a)i. Area of a Rectangle= Length X Breadth

Area of the room=8X9=72 square feet

ii. Perimeter of a Rectangle=2(Length+Breadth)

Perimeter of the room=2(8+9)=2 X 17 =34 feet

(b) A baseboard goes around the edge or boundary of the room, so it has to do with perimeter

A carpet covers the entire floor so it has to do with the area of the room.

3 0
3 years ago
URGENT! PLEASE HELP.
uysha [10]

Answer: a) BC = 1386.8 ft

b) CD = 565.8 ft

Step-by-step explanation:

Looking at the triangle,

AD = BD + 7600

BD = AD - 7600

Considering triangle BCD, we would apply the the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 24 = CD/BD = CD/(AD - 700)

0.445 = CD/(AD - 700)

CD = 0.445(AD - 700)

CD = 0.445AD - 311.5 - - - - - - - -1

Considering triangle ADC,

Tan 16 = CD/AD

CD = ADtan16 = 0.287AD

Substituting CD = 0.287AD into equation 1, it becomes

CD = 0.445AD - 311.5

0.287AD = 0.445AD - 311.5

0.445AD - 0.287AD = 311.5

0.158AD = 311.5

AD = 311.5/0.158

AD = 1971.52

CD = 0.287AD = 0.287 × 1971.52

CD = 565.8 ft

To determine BC, we would apply the Sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Sin 24 = CD/BC

BC = CD/Sin24 = 565.8/0.408

BC = 1386.8 ft

4 0
3 years ago
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