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3 years ago

6

Two accounts earn simple interest. The balance y (in dollars) of Account A after x years can be modeled by y=10x+500. Account B

starts with $400 and earns 5% simple annual interest.HELP NOW PLZ

1 answer:

bija089 [108]3 years ago

4 0

Answer:

$600 i think

Step-by-step explanation:

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A family wants to save for college tuition for their daughter. What continuous yearly interest rate r% is needed in their saving

sergey [27]

Answer:

The continuous yearly interest is 22.5% per year.

Step-by-step explanation:

Continuous yearly interest:

Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.

The formula for continuous interest yearly is

$A=Pe^{rt}$

where A = The final amount =$110,000

P= principle =$4,700

r= rate of interest

t= time (in year)= 14 years

$\therefore 110,000= 4,700e^{r\times 14}$

$\Rightarrow e^{14r}= \frac{110,000}{4,700}$

Taking ln both sides

$\Rightarrow ln e^{14r}= ln(\frac{110,000}{4,700})$

$\Rightarrow {14r}= ln(\frac{1100}{47})$

$\Rightarrow r=\frac{ln( \frac{1100}{47})}{14}$

$\Rightarrow r = 0.225$ (approx)

The continuous yearly interest is 0.225 = 22.5% per year.

4 0

3 years ago

The circle graph shows the percentage of time Jacob spent on homework in each subject last week.Time Spent on Homework12.5%25%ar

Goshia [24]

We are given a circle graph that shows the time spent on homework last week.

Jacob spent a total of 16 hours doing homework.

The time spent on doing science homework is given by

$\begin{gathered} t_{\text{science}}=25\%\: of\: 16 \\ t_{\text{science}}=\frac{25}{100}\: \times\: 16=4\: \text{hours} \end{gathered}$

The time spent on doing band practice is given by

$\begin{gathered} t_{\text{band}}=12.5\%\: of\: 16 \\ t_{\text{science}}=\frac{12.5}{100}\: \times\: 16=2\: \text{hours} \end{gathered}$

The difference between the time spent on science homework and band practice is

$difference=t_{\text{science}}-t_{\text{band}}=4-2=2\: \text{hours}$

Therefore, Jacob spent 2 more hours on science homework than band practice.

4 0

1 year ago

PLZ HELP I DONT UNDERSTAND

larisa [96]

Answer: 90%

Step-by-step explanation:

Step 1: You would get the greater value (50) and the lower value (26). You would subtract those numbers.

Step 2: You would get 24 when you subtract those numbers. Divide that number by 26.

Step 3: This is optional. You can simply those numbers to make it easier to divide.

Step 4: Divide

Step 5: You would get 0.9230769

Step 6: Move the decimal point 2 times to the right. So you would get 92%

7 0

3 years ago

Can someone please explain me this

Vlad [161]

1st way

To solve this we need to know ratio.

$- \frac{1}{5} \div \frac{1}{5} = - 1 \\$

Now we can see that odd numbers of geometric sequence are positive and even numbers are negative. 91 - odd number, so it will be positive. If ratio is equal to -1, than 91st number is

$\frac{1}{5} \\$

2nd way

Firstly, we need to find ratio.

$- \frac{1}{5} \div \frac{1}{5} = - 1 \\$

Secondly, we need to use this formula

$b_n=b_1 \times q^{n-1} \\$

$b_{91}= \frac{1}{5} \times ( - 1)^{91-1} = \frac{1}{5} \\$

6 0

3 years ago

What is the correct equation to solve for X ? (geometry) show ur work pls

vredina [299]

Answer:

i did it and i think b should be right

5 0

3 years ago