Answer:
Figure A is a translation of Figure 1
hope it helps...
Answer:
(x -1)(12x +13)
Step-by-step explanation:
You are looking to rewrite the middle term as the sum of terms that have factors of (12)(-13) that have a total of +1. Those factors are -12 and +13, so the expression you are factoring by grouping is ...
12x^2 +13x -12x -13
= x(12x +13) -1(12x +13)
= (x -1)(12x +13)
Answer:
slope = 5/3
Step-by-step explanation:
The line rises 5 units for each 3 units it goes to the right. (The y- and x-intercepts are clues.) The slope is the ratio of rise to run: 5/3.
Answer:
5 years
Step-by-step explanation:
In the question we are given;
- Amount invested or principal amount as $5048
- Rate of interest as 4% compounded 12 times per year
- Amount accrued as $6,163.59
We are required to determine the time taken for the money invested to accrue to the given amount;
Using compound interest formula;

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)
Therefore;



introducing logarithms on both sides;

But, 1 year = 12 interest periods
Therefore;
Number of years = 60.61 ÷ 12
= 5.0508
= 5 years
Therefore, it will take 5 years for the invested amount to accrue to $6163.59
We first need to find the radius of the circle, so we need to do 8π/π which gives us a diameter of 8 cm, halving this gives us a radius of 4 cm.
The area of this circle will be:
A = πr^2
A = 4^2
A = 16π cm^2
Now to find the volume we simply multiply the area by the height:
16π × 7 = 112π cm^3 which is our final answer.