7. An investment account pays 3.9% interest compounded semi-annually. If

Mathematics

1 answer:

Likurg_2 [28]4 years ago

5 0

Answer:

the balance would be 48000

Step-by-step explanation:

First you really dont have to do with the 3.9%

If 4000 is invested and you need the balance after 12 years you just multiply

4000 times 12=48000

You might be interested in

Plz..... Solve this questions for me...

faust18 [17]

$6.\\\text{We know}\ 9=3^2.\ \text{Therefore}\\\\9^2=(3^2)^2\\\\\text{use}\ (a^n)^m=a^{nm}\\\\9^2=(3^2)^2=3^{2\cdot2}=3^4\\\\\boxed{3^4=9^2}\\=================$

$7.\\METHOD\ 1:\\\\\sqrt{7^4}=\sqrt{7^{2\cdot2}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(7^2)^2}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=\boxed{7^2}\\\\METHOD\ 2:\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt{7^4}=7^\frac{4}{2}=\boxed{7^2}\\=================$

$8.\\5^a\times5^b=5^{11}\\\\a)\\\text{use}\ a^n\times a^m=a^{n+m}\\\\5^a\times5^b=5^{a+b}\\\\5^{a+b}=5^{11}\Rightarrow a+b=11\\\\11\ \text{is odd. The sum of even and odd is odd. Therefore}\ a\ \text{and}\ b\ \text{can't be even.}\\--------------------\\\\b)\\5\ \text{solutions}\\\\11=5+6\\11=4+7\\11=3+8\\11=2+9\\11=1+10$

3 0

3 years ago

24÷2²(-3)-7-2²-2(3-6) step by step please and thank you!

gavmur [86]

Answer:

$- 23$

Step-by-step explanation:

$24 \div {2}^{2} ( - 3) - 7 - {2}^{2} - 2(3 - 6) \\ 24 \div {2}^{2} ( - 3) - 7 - {2}^{2} - 2( - 3) \\ 24 \div 4( - 3) - 7 - 4 - 2( - 3)\\ 6(-3) - 7 - 4 -2(- 3) \\ - 18 - 7 - 4 + 6 \\ -25 -4 +6 \\ -29 +6 \\ - 23$