<span>In 3 years, you will have $8,103.38
Formula:
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<span>A = P (1 + r/n)<span> ^(nt)</span></span>
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for
Answer: ∠DOB: 48°
Step-by-step explanation:
1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°
2. now we can solve for the missing variable, n.
108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°
3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°
hope this heped! ♡
The purple crayons take up 1/4 of the crayons in the jar. To get the answer:
140/4 = 35
Answer:
Step-by-step explanation:
Let's say we wanted to find the LCM of 6 and 8.
First, write the prime factorization of both:
6 = 2×3
8 = 2³
Let's include all the exponents:
6 = 2¹×3¹
8 = 2³×3⁰
The LCM needs to have the prime factors with the highest exponents.
So we need prime factors of 2 and 3. The exponent of the 2 will be three, and the exponent of the 3 will be one.
LCM = 2³×3¹
LCM = 24
