Make a factoring tree: 56 is 7 x 8. You can break 8 down into three 2s, therefore, 8 is equal to 2^3. 7 is already prime, so the answer is 2^3 x 7.
Same thing for 68: factored = 2 x 34 = 2 x 2 x 17
2^2 x 17 is the answer.
Answer:
She should multiply her current balance by 1.052.
Step-by-step explanation:
Her investment is an account with a simple interest of 5.2% per year.
So in one year, she will have 100% + 5.2% = 105.2% of her initial amount. To find the multiplier, we divide by 100%. So
105.2%/100% = 1.052
She should multiply her current balance by 1.052.
Answer: the total amount that you can earn in 15 years is $737245. Option C
Step-by-step explanation:
You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).
The formula for the sum of terms in a geometric progression is
Sn = [a(r^n - 1)]/ r - 1
Sn = sum of n terms
a = the first term
n = number of terms
r = common ratio
From the information given,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649 - 1)] / 0.055
S15 = 32900 × 1.23247649) / 0.055
S15 = 737245.0277
S15 = $737245
Two angles are coterminal if they differentiate in a factor of k*(2pi). This is a multiple of 360 degrees.
In this case 21 [pi /10] = [pi / 10] + 20 [pi/10] = [pi/10] + 2pi, then 21pi/10 is coterminal with pi/10.
In the case of -pi/10 you cannot get to pi/10 by adding a multiple of 2pi , then they are not coternminals.
Conclusion: you would not be right.
21. D. is the answer. Angle Q is 75 degrees. X=30. The triangle is an isosceles angle so therefore there are 2 angles are congruent to each other, Angle R and Angle Q. All three of the angles should add to 180 degrees.
