Answer:
1.04
Step-by-step explanation:
"Complete the following sentence about the yearly rate of change in the amount of money in the account. Round your answer to two decimal places.
Every year, the amount of money in the account increases by a factor of _."
Mdecade(t) = 4900 (1.5)^t, where t is in decades.
One year is 0.1 decades, so M increases by a factor of:
1.5^0.1 = 1.04
Simply divide the minutes by laps.
38 / 8 = 4.75
Hannah runs 1 lap in 4.75, or 4 3/4 minutes.
Answer:
Current Bond price = $1155.5116
Step-by-step explanation:
We are given;
Face value; F = $1,000
Coupon payment;C = (7.3% x 1,000)/2 = 36.5 (divided by 2 because of semi annual payments)
Yield to maturity(YTM); r = 5.6%/2 = 2.8% = 0.028 (divided by 2 because of semi annual payments)
Time period;n = 13 x 2 = 26 years (multiplied by 2 because of semi annual payments)
Formula for bond price is;
Bond price = [C × [((1 + r)ⁿ - 1)/(r(r + 1)ⁿ)] + [F/(1 + r)ⁿ]
Plugging in the relevant values, we have;
Bond price = [36.5 × [((1 + 0.028)^(26) - 1)/(0.028(0.028 + 1)^(26))] + [1000/(1 + 0.028)^(26)]
Bond price = (36.5 × 18.2954) + (487.7295)
Bond price = $1155.5116
Answer:
A. The solution set is x = 5 or -7
Step-by-step explanation:
![\sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%202x%20%7D%20%20%3D%20%20%5Csqrt%5B4%5D%7B35%7D%20%20%5C%5C%20%7B%28%7Bx%7D%5E%7B2%7D%20%2B%202x%29%20%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%3D%20%20%7B%2835%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%5C%5C%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%2B%20%7B2x%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%20%3D%20%20%7B35%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%5C%5C%20%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%3D%2035%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%20-%20%2035%20%3D%200%20%5C%5C%20%28x%20-%205%29%28x%20%2B%207%29%20%3D%200%20%5C%5C%20x%20%3D%205%20%20%5C%3A%20or%20%5C%3A%20%20-%207)
Therefore, the answer is A. as the solution is x = 5 or -7
Dist. travelled for the first 2 days
= 22 + 28
= 50
Dist. travelled for the remaining 83 days
= 1378 - 50
= 1328
Dist. travelled for EACH of the 83 days
= 1328 ÷ 83
= 16
