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3 years ago

Shandra's parents put $1,500 in her bank account for college tuition. At an interest rate

Mathematics

1 answer:

gavmur [86]3 years ago

5 0

Answer:

$6,427.99

Step-by-step explanation:

-We first find the effective annual interest rate as follows:

$i_m=(1+i/m)^m-1\\\\=(1+0.0825/2)^2-1\\\\=0.084202$

#We the use this rate to find the compounded amount after 18 years:

$A=P(1+i_m)^n\\\\=1500(1.084202)^{18}\\\\=6427.99$

Hence, the amount after 18 years is $6,427.99

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Can anybody help me with this? Algebra 1

Marina CMI [18]

Answer:

see below

Step-by-step explanation:

7. f(x) = mx + b; b acts as the vertical shift moving the graph up if b is positive and down if b is negative.

f(x) = x-2 has shifted the graph of f(x) down 2 units.

g(x) = x + 7 has shifted the graph up 7 units.

If f(x) is changed to g(x) the vertical shift has gone from -2 to + 7 or (7-(-2) = 9 units up

8. f(x) = mx stretches the graph by a factor of m if m > 0 and compresses the graph by a factor of m if 0<m<1

f(x) = 3x stretches the graph by a factor of 3.

g(x) = 1/4x compresses the graph by a factor of 1/4

8 0

3 years ago

Oil spill spreads 25 m² every 1/6 hour how much area does the oil spill cover after two hours

Delvig [45]

1/6 of an hour is 10 minutes because there are 60 minutes in an hour so 60/6=10
so it's 25m^2/10minutes
now just multiply 25 by 12 ( 12 lots of 10 minutes in 2 hours)
25*12=300
answer is 300m^2

hope this helped

6 0

3 years ago

Read 2 more answers

Solving Equations Discussion

olya-2409 [2.1K]

1. Equations are:

3x + 2 = 5x + 8 and 7x + 2 = 7x - 4

2. The equation is:

2(32x - 2) = 2x + 36

64x - 4 = 2x + 36

3. You have to choose a classmate's question and answer.

4. You have to look at responses and comments.

3 0

4 years ago

Ella bought some key chains and spent a total of $32. Each key chain cost the same whole-dollar amount. She bought between 6 and

MrRa [10]

Ella bought 8 keychains. She spent 4 dollars on each KeyChain. Hope this helps

5 0

3 years ago

Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0

pshichka [43]

Answer:

(a) The value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of μ.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

H₀: μ = 74 vs. Hₐ: μ < 74.

The information provided is:

σ = 7

n = 25

As the population standard deviation is known, we will use a z-test for single mean.

(a)

The z-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The z-score for sample mean is given by:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

If $\bar x$ = 72.3 compute the corresponding z-score as follows:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

$=\frac{72.3-74}{7/\sqrt{25}}\\=-1.21$

Thus, the value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of μ.

(b)

So the test statistic is, z = -1.21.

Compute the p-value of the test as follows:

$p-value=P(Z$

*Use a z-table.

The decision rule says to, reject the null hypothesis if the p-value is less than the significance level α = 0.01 and vice-versa.

p-value = 0.1131 < α = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0

3 years ago