Answer:
18 years, 4 months and 10 days.
Step-by-step explanation:
Given that the person invests $ 1000 in an account with compound interest each month, with an interest rate of 6%, to determine how long the investment must maintain to reach $ 3,000, the following calculation must be performed:
3,000 = 1,000 (1 + 0.06 / 12) ^ Yx12
3,000 = 1,000 (1 + 0.06 / 12) ^ 18.36x12
3,000 = 3,000
Therefore, the person must keep his investment for a period of 18.36 years. Since 12 x 0.36 is equal to 4.32, the total investment time should be 18 years, 4 months and 10 days.
Let 1st integer be x and next consecutive be x+1
1/2•x + 1/5•(x+1) = 10
x/2 + x/5 + 1/5 = 10
-1/5 -1/5
x/2 + x/5 = 49/5
(x/2)•5/5 + (x/5)•2/2 = 49/5
5x/10 + 2x/10 = 49/5
7x/10 = 49/5
•10 •10
7x = 98
÷7 ÷7
x = 14 --> 1st integer
x+1 = 14+1 = 15 --> next consecutive integer
Answer:
y = x+5 where y is Mark's age
Step-by-step explanation:
Hi there, to answer this problem, you need to really think about what it is asking. In saying that mark is 5 years older than Juan, we know it is going to involve addition. Then, you simply need to think about the relation to Juan's age. In this case, Mark is older so you add to it. Hope this helped!
These are just sketches, you should polish them yourself. In analogy to relations, I will write aFb to mean the statement f(a) = b.
(a) aFa, so f(a) = a. This is the definition of the identity function.
(b) aFb => bFa, so f(a) = b and f(b) = a. Therefore f(f(a)) = a by substitution, and hence f^2 is the identity function.
(c) aFb and bFc => aFc. So f(f(a)) = c, and f(a) = c. Thus f(c) = c, which is the identity. Make sure you sort out the im(F) stuff when you clean this up.
1. Surface area of rectangular prism = 2(lb+bh+lh)
Ans = 2(3*2 + 2*4 + 3*4) = 2(6+8+12) = 52 in^2
Fourth option
2. Length of cube = x feet
Surface area = 6x²
Fourth option
3. Surface area of cylinder = πr(2h+r)
Ans = 3.14*1(2*15+1) = 97.34 cm²
second option
4. Same formula as 1
Ans = 2(10*8 + 8*12 + 10*12) = 2(80+96+120) = 592 in²
fourth option
