P(the first song is a rock song and the second is a country song)=2/8×3/7=6/56=3/28
Answer:
x=-7 x=2
Step-by-step explanation:
x^2+5x-14=0
Factor
What 2 numbers multiply to -14 and add to 5
7*-2 = 14
7 -2 =5
(x+7) (x-2) = 0
Using the zero product property
x+7 = 0 x-2 =0
x=-7 x=2
Answer:
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![{ \tt{ \sqrt[3]{1944} = \sqrt[3]{(72 \times 27)} }} \\ \\ = { \tt{ \sqrt[3]{72} \times \sqrt[3]{27} }} \\ \\ = { \tt{ \sqrt[3]{72} \times 3}} \\ \\ = { \underline{ \tt{ \: 3 \sqrt[3]{72} } \: }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B%20%5Csqrt%5B3%5D%7B1944%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B%2872%20%5Ctimes%2027%29%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Ctt%7B%20%5Csqrt%5B3%5D%7B72%7D%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B27%7D%20%20%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Ctt%7B%20%5Csqrt%5B3%5D%7B72%7D%20%20%5Ctimes%203%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Cunderline%7B%20%5Ctt%7B%20%5C%3A%203%20%5Csqrt%5B3%5D%7B72%7D%20%7D%20%5C%3A%20%7D%7D)
Step 1
<span>Find the difference between 87 and 24
(87-24)=63
step 2
</span><span>Find 7.4 times the difference between 87 and 24
7.4*63=466.2
the answer is
466.2</span>
Answer:
The final ballance will be $1300.37.
Step-by-step explanation:
In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:
S = P(1 + r/n)^(n*t)
Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:
S = 975.52*(1 + 0.0725/4)^(4*4)
S = 975.52*(1.018125)^(16)
S = 975.52*1.333
S = 1300.37
The final ballance will be $1300.37.