1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataly [62]
3 years ago
11

Amelia opened a new savings account at a local bank. She made a beginning deposit of $1,000. The account earns 2% simple interes

t. If Amelia makes no additional deposits or withdrawals, what is the total amount that Amelia will have in her account at the end of 5 years?
Mathematics
1 answer:
Grace [21]3 years ago
3 0

Answer:

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

I = interest at the end of t years

r represents the interest rate.

P represents the principal or initial amount deposited.

t represents the number of years of investment.

From the information given,

P = 1000

R = 2%

T = 5 years

Therefore,

I = (1000 × 2 × 5)/100

I = $100

The total amount in the account after 5 years would be

1000 + 100 = $1100

You might be interested in
A Statistics professor has observed that for several years students score an average of 106 points out of 150 on the semester ex
tekilochka [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 106

For the alternative hypothesis,

µ > 106

It is a right tailed test because of >.

Since no population standard deviation is given, the distribution is a student's t.

Since n = 241,

Degrees of freedom, df = n - 1 = 241 - 1 = 240

t = (x - µ)/(s/√n)

Where

x = sample mean = 109

µ = population mean = 106

s = samples standard deviation = 8.3

a) test statistic, t = (109 - 106)/(8.3/√241) = 5.61

We would determine the p value using the t test calculator. It becomes

p = 0.00001

Since alpha, 0.05 > than the p value, 0.00001, then we would reject the null hypothesis. Therefore, At a 5% level of significance, this improvement seem to be practically​significant.

b) Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

n = number of samples

From the information given, the population standard deviation is unknown, hence, we would use the t distribution to find the z score

df = 240

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 1.6512

Margin of error = 1.6512 × 8.3/√241

= 0.88

Confidence interval = 109 ± 0.88

7 0
3 years ago
Can someone help with this please
Lady_Fox [76]

Answer:

DFE

Step-by-step explanation:

4 0
2 years ago
Hellllp meeeee aaaaa
drek231 [11]

Answer:

A

Step-by-step explanation:

y = (-2/5)x + 1

By inspection of the equation, the slope of the line is -2/5 and the y-intercept is 1.

Therefore, we can immediately discount option B and D, as their y-intercepts are NOT 1.

Find the point where the line crosses the x-axis by setting the equation to 0 and solving for x:

0 = (-2/5)x + 1

⇒ -1 = (-2/5)x

⇒ -5 = -2x

⇒ x = 5/2

Therefore, the line of the function intersects the x-axis at x = 5/2 = 2.5

From inspection of the graphs, the line in option A intersects the x-axis at 2.5.  Therefore, this is the correct graph.

3 0
2 years ago
What is - 1/6 + (-7/4) this is 7th gradr math
DedPeter [7]

Hello Bubbleshi !

The first step you need to do is get everything in like terms.

- 1/6 and - 7 /4

Look at the denominator (number on the bottom)

6 and 4 go into 12, so lets check that out.

-1/6 , how can we get 12 from the denominator? Multiply it by 2.

So you multiply both the numerator (number on the top) and the denominator.

-1/6 becomes -2/12.

With -7/4, you want to get the 4 as a 12 (like terms!) so once again you multiply it by 3, and multiply the numerator as well.


-7/4 becomes -21/12.

-2/12 + (-21/12) is your final form of the problem.

You add -2 and -21 in the numerator, which is -23.

So its -23/12 which is your final answer.

Let me know if you need any more help!

8 0
3 years ago
Sarah has 284 coins in a piggy bank with a total value of $22.78. Sarah has 173 pennies, 5 more dimes than nickels, the rest are
pickupchik [31]
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)

a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1)  N + D + Q = 111 coins

b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins

c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:

(1)  N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78




7 0
3 years ago
Other questions:
  • Multiply the following binomials (X+5) (X-5)
    9·1 answer
  • There is a proportional relationship between your distance from a thunderstorm and the time from when you see the lightning and
    13·1 answer
  • Explain these three questions please help me I’m begging you please I’ll give brainliest!!!!
    13·1 answer
  • Please help! Correct answer only please! I need to finish this assignment by today.
    5·2 answers
  • Y=1/2x+13
    14·2 answers
  • Help ASAP please! Thank you so much<br> What is the slope of the graphed line?
    5·2 answers
  • Please help me ! thank you
    9·2 answers
  • Find the range of the function f(x) = 4x – 1 for the domain {-1, 0, 1, 2, 3}.
    15·2 answers
  • Yes or no, are these functions
    13·1 answer
  • Is the function represented by the table non-linear?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!