Write the number 8.8 x 106 in standard form.

If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?Enter the followin

svlad2 [7]

Answer:

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?

We have that $P = 1000, I = 0.07$

We want to find t when E = 1000, so $T = P + E = 2000$ .

$E = P*I*t$

$1000 = 1000*0.07*t$

$t = \frac{1}{0.07}$

$t = 14.29$

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

8 0

3 years ago

franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are ther

marin [14]

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

$b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80$

Hence,

There are 60 boys and 80 girls in Franklin School.

3 0

3 years ago

Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a r

alexira [117]

Answer: The probability is P = 0.056

Step-by-step explanation:

The invited ones are:

Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia

So we have a total of 10 persons.

The case where Xerxes arrives first and Regina arrives last is:

We have 10 slots, each slot corresponds to who arrived in which time.

For the first slot we have only one option, this is Xeres.

For the next slot we have 8 options (because Xeres already arrived, and Regina must arrive at last)

For the next slot we have 7 options.

for the next one we have 6 options, and so on.

So the combinations are:

C = 1*8*7*6*5*4*3*2*1*1 = 40320

Now, the total number of combinations is:

for the first slot we have 10 options, for the second we have 9 options and so on.

c = 10*9*8*7*6*5*4*3*2*1 = 725760

The probability is the combinations where Xerxes arrives first and Regina rrives last divided the total number of probabilities.

P = C/c = 0.056

7 0

3 years ago

The equation h = 0.019s

TEA [102]

Answer:

s = 28.09 m/s

Step-by-step explanation:

Given that,

The equation that gives the height of the largest ocean waves when the wind speed is s knots is given by :

$h=0.019s^2$

We need to find the wind speed if the largest waves are 15 feet high.

Put h = 15 feet in the above equation as follows :

$15=0.019s^2\\\\s^2=\dfrac{15}{0.019}\\\\s=28.09\ m/s$

So, the speed of the wind is 28.09 m/s.

4 0

3 years ago

A Bar of steel is 340 cm long Issa cuts two 55cm lengths of the bar He then cuts the rest into as many 40cm lengths as possible

Assoli18 [71]

Answer:

5 bars

Step-by-step explanation:

340-(55+55)

230÷40

5.75

6 0

3 years ago