One third of the square root of which number is 0.001

The scatter plot shows the results of a survey in which 10 people were asked how many e-mail accounts and how many credit cards

Salsk061 [2.6K]

3 people have four credit cards, because if you follow the "4" on the y axis, you will find 3 dots

5 0

3 years ago

Read 2 more answers

A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc

Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be $2x$ .

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

$I=Prt$ , where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

$6\%=\frac{6}{100}=0.06$

$10\%=\frac{10}{100}=0.10$

Amount of interest earned from lower-yielding account: $2x(0.06)=0.12x$ .

Amount of interest earned from higher-yielding account: $x(0.10)=0.10x$ .

$0.12x+0.10x=6600$

Let us solve for x.

$0.22x=6600$

$\frac{0.22x}{0.22}=\frac{6600}{0.22}$

$x=30,000$

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be $2x\Rightarrow 2(30,000)=60,000$ .

Therefore, the man invested $60,000 at 6%.

8 0

3 years ago

A leading bank is coming up with an investment that pays 8 percent interest compounded semiannually. What is the investment's ef

uranmaximum [27]

The effective rate is calculated in the following way:
$r = {(1 + \frac{i}{n} )}^{n} - 1$
where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
$r = {(1 + \frac{8\%}{2}) }^{2} - 1 \\ r = {(1 + \frac{1}{25}) }^{2} - 1 \\ r = \frac{676}{625} - 1 \\ r = 0.0816 \: or \: 8.16\%$

5 0

3 years ago

Write an expression/equation/inequality represented by the following statements. NO NEED TO SOLVE

serious [3.7K]

Answer:

a. $n - 11 \le 14$

b. $5n - 10 < 4(n - 8)$

Step-by-step explanation:

a. A number decreased by 11 is at most 14.

$n - 11 \le 14$

b. Ten less than five times a number is less than four times the number decreased by eight.

$5n - 10 < 4(n - 8)$

8 0

3 years ago

Write an explicit formula for an, the nth term of the sequence 112, -28, 7, ....

MA_775_DIABLO [31]

Answer:

$a_n=112\left(-\frac{1}{4}\right)^{n-1}$

Step-by-step explanation:

<u>Geometric Sequences</u>

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

112, -28, 7, ...

It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.

Let's find the common ratio by dividing each term by the previous term:

$\displaystyle r=\frac{-28}{112}=-\frac{1}{4}$

Testing with the third term:

$\displaystyle -28*-\frac{1}{4}=7$

Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:

$a_n=a_1*r^{n-1}$

$a_n=112\left(-\frac{1}{4}\right)^{n-1}$

6 0

3 years ago