Answer:
(a) A = 700×1.015^t
(b) 36.2 years
Step-by-step explanation:
(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...
A = $700×1.015^t
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(b) You want to find t when A=$1200. Logarithms are involved.
1200 = 700×1.015^t . . . . use 1200 for A
1200/700 = 1.015^t . . . . . divide by 700
log(12/7) = t×log(1.015) . . . . . take logarithms
log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t
It will take about 36.2 years for the account balance to reach $1200.
6 because in 9 years Travis will be 30 and divide that by 2 is 15. 15-9=6
To solve this you can multiply the second equation by to get
3x+6y =18
Then you can subtract it by the first equation to get
7y= 14
And get y= 2
Then you plug in y to one of the equations to find that x=2
Division affects numbers by splitting them up into neat little groups.
For example, we can say we have 68 marbles and want to split them into 4 piles. For this, we can make the division problem 68 / 4 = ?
In this example, we are saying that we are splitting 68 marbles into 4 even groups. If we are doing it evenly, how many marbles are in each pile?
68 / 4 = 17
There are 17 marbles in each of the 4 piles. We can check our work by adding:
17 + 17 + 17 + 17 = 68
And the math checks out.
Hope this helped =)
Answer:
x=-6.5
Step-by-step explanation:
