A,B,D because the sum of the powers of variables in each term of the expansion is equal to the power the binomial is raised to.
Decimeter because it is equal to a tenth of a number
The odd natural number which is mentioned as X is 175.
<u>Step-by-step explanation:</u>
- By prime Factorization method .
- Step 1 : The prime factor for 40 is = 2×2×2×5.
- Step 2 :The prime factor for 1400 is = 2×2×2×5×5×7.
- Step 3 : the prime factor for the unknown natural odd number is to be find by comparing the factors of 40 and 1400.
- Step 4 : Lcm is known as least common multiple.
- Step 5 : Thus we can see the 5×5×7 in 1400 as different factors from the factors of 40.
- Step 6 : So lets multiply the factors we get number 175 which satisfies the condition of the odd number.
- Step 7 : The prime factors of 175 are 5×5×7.
Answer:
Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7
Step-by-step explanation:
the equation used to calculate future value of an investment (or bank deposit) using compound interest is:
future value = present value x (1 + interest rate)ⁿ
- Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057
- Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47
Answer: C
Explanation: Let's find each equation without any inequalities first. We have a dotted line at y = 1, so we can already remove A and B. Now, a dotted line represents exclusivity and hence; it should not include the = sign.
Thus, by elimination, the answer must be C.
