MATHEMATICS HIGH SCHOOL

Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 a long with an interes of $143. What was the annual interes rate?

Answers

Answer 1

Answer:

Answer: The annual interest rate is 1.06%

Step-by-step explanation: This is a simple interest computation.

The formular for a simple interest is given as;

I = (P ×R × T)/100

Where I represents the interest paid,

P represents Principal borrowed at the beginning

R represents the rate at which the interest is calculated

T represents the Time measured in number of years

If the interest is calculated as I = (P×R×T)/100, we should first of all make R the subject of the formular;

Multiply both sides by 100

100I = P×R×T

Divide both sides of the equation by P and T

(100I)/(P × T) = R

Now we can insert the values into the rearranged formular

(100 × 143)/(4500 × 3) = R

14,300/13,500 = R

143/135 = R

1.0592592593 = R

Therefore, R which is the rate of interest equals approximately 1.06%

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The sum of the first 65 odd, positive integers is?I know the answer is 4225, but I don't know how to solve.

Answers

$1+3+5+7+9+11+...\n\nThis\ is\ an\ atihmetic\ progression\ where\ a_1=1\ and\ d=2.\n\nThe\ sum:S_n=(2a_1+(n-1)d)/(2)\cdot n\n\nS_(65)=(2\cdot1+(65-1)\cdot2)/(2)\cdot65=(2+64\cdot2)/(2)\cdot65=(2+128)/(2)\cdot65\n\n=(130)/(2)\cdot65=65\cdot65=4225$

Which fraction is equivalent to 4/10 6/8 2/5 3/5

Answers

Answer:

2/5 is equal to 4/10

Step-by-step explanation:

Answer:

2/5 is equivalent when you divide both numbers by 2

Rewrite with positive exponents, and simplify, if possible. $((8xz)/(9y))^(-1/2)$

Answers

$\left((8xy)/(9y)\right)^{-(1)/(2)}=\left((9y)/(8xz)\right)^(1)/(2)=(√(9y))/(√(8xz))=(3√(y))/(√(4\cdot2xz))=(3√(y))/(2√(2xz))\cdot(√(2xz))/(√(2xz))=(3√(2xyz))/(2\cdot2xz)=(3√(2xyz))/(4xz)$

What polynomial identity should be used to prove that 16^2=(10+6)^2? (A. Difference of Cubes; B. Difference of Squares; C. Square of Binomial; D. Sum of Cubes)

Answers

Answer:

C. Square of Binomial

Step-by-step explanation:

To prove the identity you should use square of Binomial that states the following:

$(a+b)^(2)=a^(2)+2ab+b^(2)$

Lets prove it, so first take the equation to solve:

$(10+6)^(2)$

Then square the first term:

$(10+6)^(2)=10^(2)$

Then multiply by 2 the first and second terms:

$(10+6)^(2)=10^(2)+2(10)(6)$

Finally square the second term:

$(10+6)^(2)=10^(2)+2(10)(6)+6^(2)$

Solve the values:

$(10+6)^(2)=100+2(10)(6)+6^(2)$

$(10+6)^(2)=100+120+6^(2)$

$(10+6)^(2)=100+120+36$

$(10+6)^(2)=256$

And prove the polynomial identity:

$16^(2)=256$

not difference of cubes since it is 2nd degree
not difference of squares since it is plus
not sum of cubes because 2nd degreee

answer is square of binomial (why do we even need this property, oh well)

C

Point G is the center of the small circle. Point X is thecenter of the large circle. Points G, H, and X are on line
segment GX
What would be the area of a new circle that has line
segment GX as its diameter?
160 cm?
367 cm?
Oo oo
491 cm?
98
cm

Answers

Answer: 49 pi cm^3

Step-by-step explanation: took the test

Please help me one some more please

Answers

1) A, 1:2
Because the ratio of the points is 7:14

2) C, 3:5
Because there are 9:15 boys, so divide by 3

3) C, 33 yards
Convert 1200 inches into yards, it makes 33.3

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