Answer:
The second and third
Step-by-step explanation:
Answer:
Step-by-step explanation:
8) (5x + 23) + (17x - 41) = 180
22x = 198
x = 9
arc JK 5(9) + 23 = 68°
arc MJ 17(9) - 41 = 112°
arc LMK 360 - 112 = 248
9) 8x + (21x - 12) + (10x + 9) + 90 = 360
39x = 273
x = 7
arc WX 21(7) - 12 = 135°
arc YW 90 + 8(7) = 146°
arc YX 10(7) + 9 = 79°
arc VXW 360 - 8(7) = 304°
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
Answer:
Step; This conversion of 10.03 kilometres to hectometres has been calculated by multiplying 10.03 kilometres by 10 and the result is 100.3 hectometres.-by-step explanation:
Answer:
7.8 = k
Step-by-step explanation:
Since the figures are similar, we can use proportions
c k
----- = -------
b j
Substituting the values in
6.5 k
----- = -------
4 4.8
Using cross products
6.5 * 4.8 = 4k
31.2 = 4k
Divide each side by 4
31.2/4 = 4k/4
7.8 = k