Evaluate the expression : common log of square root 9/25.

Mathematics

1 answer:

tekilochka [14]3 years ago

4 0

You want log √(9/25). Recognizing that √9 = 3 and that √25 = 5, we get

log 3/5, which by rules of logs comes out to log 3 - log 5.

To four decimal places:

log 3 - log 5 = 0.4771 - 0.6990, or -0.2218.

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I will mark you as the brainlest

tatyana61 [14]

Option D

The total amount after 3 years is $ 1665.31

<h3>Solution:</h3>

Given that an investment of $1500 in an account paying 3.5% interest, compounded quarterly

To find: total amount after 3 years

The formula for total amount using compound interest is given as:

$A=p\left(1+\frac{r}{n}\right)^{n t}$

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here in this problem,

p = $ 1500

$r = 3.5 \% = \frac{3.5}{100} = 0.035$

t = 3 years

n = 4 (since compounded quarterly)

Substituting the values in above formula,

$\begin{aligned}&A=1500\left(1+\frac{0.035}{4}\right)^{4 \times 3}\\\\&A=1500(1+0.00875)^{12}\\\\&A=1500(1.00875)^{12}\\\\&A=1500 \times 1.110203=1665.31\end{aligned}$

Thus total amount after 3 years is $ 1665.31. Option D is correct

8 0

3 years ago

Three hens can lay 3 eggs in 3 days. How many hens would lay 3 eggs in 9 days?

CaHeK987 [17]

One hen lays one egg in 3 days, so it's 1 hen I believe

6 0

3 years ago

Question attached,

alexandr1967 [171]

Answer:

Step-by-step explanation:

$(a)\\ \\ (i)\ \sqrt{3}=3^p\\ \\ 3^{\frac{1}{2}}=3^p\\ \\ p=\frac{1}{2}\\ \\ (ii)\ \frac{1}{9}=3^q\\ \\ 3^{-2}=3^q\\ \\ q=-2\\ \\ (b)\\ \\ 3^{\frac{1}{2}(3^x)=\frac{1}{9}\\ \\ 3^{\frac{1}{2}+x}=3^{-2}\\ \\ \frac{1}{2}+x=-2\\ \\ x=-1.5$