After how many weeks will Andre and Elena have the same amount of money in their savings accounts?

1 answer:

8 0

So, first Andre is starting with 100 dollars in his savings account. Every week, he adds 5 dollars. And Elena starts with 10 dollars and adds 20 dollars per week.
1. Solve what Andre did.
$5 multiplied by 4 weeks = $20. So, $100 + $20 = $120.
2. Solve what Elena did.
$20 × 4 weeks = $80. $10 from her savings account + $80 = $90
3. So, Andre has more money because he started with $100, which is lots of money. And Elena only started with $10. So, Andre has $30 more than Elena.
4. For Part B, you have to count how many weeks in order for both of them to have the same amount of money left in their savings account.
5. Since Andre gets $5 a week, he can get at least 2 weeks and get $130. And for Elena, she would have to do 2 weeks also. For now she has $90, but for two weeks would be $130.
Answer for Part B: Each of them would have to do 2 weeks to get the same amount. (Which is 4 weeks)

You might be interested in

An account had an initial deposit made and then interest was applied once a year at a fixed rate. The amount of money, in dollar

Nat2105 [25]

Amount in compound interest = p(1 + r/t)^nt where p is the initial deposit, r = rate, t = number of compunding in a period and n = period.

Here, Amount after t years = 103(1.02)^t
i.e. 1 + r = 1.02
r = 1.02 - 1 = 0.02
Therefore, annual interest rate = 0.02 x 100 = 2%

8 0

3 years ago

Read 2 more answers

Three and one-half yards of fabric is less than five and one-half yards of fabric.

jasenka [17]

Answer:

Step-by-step explanation:

Given

Three and one-half yards of fabric i.e. $3\frac{1}{2}=\frac{7}{2}$ yards

and five and one-half yards of fabric is $5\frac{1}{2}=\frac{11}{2}$ yards

Difference between five and one-half yards and Three and one-half yards is

=2 yards which is positive

Thus it clear that $\frac{7}{2} < \frac{11}{2}$

6 0

3 years ago

Can you help <br> please and thank you

seraphim [82]

Answer:

Step-by-step explanation:

Total of 40 cups and 25 of them are chocolate so the proportion for chocolate would be 25/40

7 0

3 years ago

Read 2 more answers

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d

k0ka [10]

Part A:

From the central limit theorem, since the number of samples is large enough (up to 30), the mean of the the mean of the average number of moths in 30 traps is 0.6.

Part B:

The standard deviation is given by the population deviation divided by the square root of the sample size.

$standard \ deviation= \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{30}} = \frac{0.4}{5.477} =0.073$

Part C:

The probability that an approximately normally distributed data with a mean, μ, and the standard deviation, σ, with a sample size of n is greater than a number, x, given by

$P(X\ \textgreater \ x)=1-P(X\ \textless \ x) \\ \\ =1-P\left(z\ \textless \ \frac{x-\mu}{\sigma/\sqrt{n}} \right)$

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that <span>the average number of moths in 30 traps is greater than 0.7</span> given by:

$P(X\ \textgreater \ 0.7)=1-P(X\ \textless \ 0.7) \\ \\ =1-P\left(z\ \textless \ \frac{0.7-0.6}{0.073} \right)=1-P(z\ \textless \ 1.369) \\ \\ =1-0.91455=\bold{0.0855}$

7 0

4 years ago

What does n equal to in 12n + 9 = 6 - 3n

sveticcg [70]

$12n+9=6-3n\ \ \ \ \ \ |Add\ 3n\ to\ each\ side\\\\
15n+9=6\ \ \ \ \ |Subtract\ 9\\\\
15n=-3\ \ \ \ \ |Divide\ by\ -15\\\\
n=-\frac{3}{15}=\boxed{-\frac{1}{5}}$

6 0

3 years ago