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3 years ago

Kyle has $1500 to invest in a saving's account for 5 years. He has 3 options:

Mathematics

1 answer:

Snezhnost [94]3 years ago

4 0

Answer:

bank c

Step-bby-step explanation:

It's obvious that compound interest will give you more money than simple and therefore we can eliminate bank A

It's best to have your interest compounding as often as possible and because that's the only difference between bank B and C bank C is the best

You might be interested in

Solve the system by elimination 2 + 5 = −24 3 − 5 = 14

belka [17]

Answer:

7=24

-2 = 14

Step-by-step explanation:

(2+5)= 7=24

8 0

3 years ago

What is 67,456 divided by 32 and tell me how

V125BC [204]

Answer:

2108

Step-by-step explanation:

Divide 67,456 by 32, using long division.

1) How many times 32 go into 67? (2 times, with a remainder of 3)

2) Bring down the 4.

3) How many times does 32 go into 34? (1 time, with a remainder of 2)

4) Bring down the 5

5) How many times does 32 go into 25? (0 times, so write 0)

6) Bring down the 6.

7) How many times does 32 go into 256? ( 8 times, no remainder)

8) Your answer is 2108

4 0

3 years ago

The five circles making up this archery target have diameters of length $2,4,6,8,$ and $10$. What is the total red area?

Sliva [168]

Answer:

$A=15\pi\ units^2$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

It is given that the diameter of 5 circles making up the archery is 2,4,6,8, and 10.

To determine the total red area, we use the formula for area of the circle

$A=\pi r^{2}$

step 1

Find the Area of the 1st red circle

$r=2/2=1\ unit$ ---> the radius is half the diameter

$A_1=\pi (1)^{2}=\pi\ units^2$

step 2

Find the Area of the 2nd white circle

$r=4/2=2\ units$ ---> the radius is half the diameter

$A_2=\pi (2)^{2}=4\pi\ units^2$

step 3

Find the Area of the 3rd red circle

$r=6/2=3\ units$ ---> the radius is half the diameter

$A_3=\pi (3)^{2}=9\pi\ units^2$

step 4

Find the Area of the 4th white circle

$r=8/2=4\ units$ ---> the radius is half the diameter

$A_4=\pi (4)^{2}=16\pi\ units^2$

step 5

Find the Area of the 5th red circle

$r=10/2=5\ units$ ---> the radius is half the diameter

$A_5=\pi (5)^{2}=25\pi\ units^2$

The total red area is given by

$A=A_5-A_4+A_3-A_2+A_1$

substitute

$A=25\pi-16\pi+9\pi-4\pi+\pi$

$A=15\pi\ units^2$

7 0

3 years ago

Need help with this one please! Worth 30 points!!! :)

Kitty [74]

Answer:

y^2 +8y + 16

Step-by-step explanation:

6y^2 +2y +5 - (5y^2 -6y -11)

I distribute the minus sign

6y^2 +2y +5 - 5y^2 +6y +11

Then I put them vertical.

6y^2 +2y +5

-5y^2 +6y +11

------------------------

y^2 +8y + 16

This is in standard from since the exponential decreases.

5 0

3 years ago

The most recent public health statistics available indicate that 23.6% of American adults smoke cigarettes. Using the 68-95-99

artcher [175]

Answer:

There is a 68% chance that between 17% and 30% are smokers.

There is a 95% chance that between 10% and 37% are smokers.

There is a 99.7% chance that between 4% and 44% are smokers.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of the sampling distribution of sample proportion is:

$\mu_{\hat p}=p\\$

The standard deviation of the sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Given:

n = 40

p = 0.236

Compute the mean and standard deviation of this sampling distribution of sample proportion as follows:

$\mu_{\hat p}=p=0.236$

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.236(1-0.236)}{40}}=0.067$

The Empirical Rule states that in a normal distribution with mean µ and standard deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be divided into three parts:

68% data falls within 1 standard-deviation of the mean.

That is P (µ - σ ≤ X ≤ µ + σ) = 0.68.

95% data falls within 2 standard-deviations of the mean.

That is P (µ - 2σ ≤ X ≤ µ + 2σ) = 0.95.

99.7% data falls within 3 standard-deviations of the mean.

That is P (µ - 3σ ≤ X ≤ µ + 3σ) = 0.997.

Compute the range of values that has a probability of 68% as follows:

$P (\mu_{\hat p} - \sigma_{\hat p} \leq \hat p \leq \mu_{\hat p} + \sigma_{\hat p}) = 0.68\\P(0.236-0.067\leq \hat p \leq 0.236+0.067)=0.68\\P(0.169\leq \hat p \leq0.303)=0.68\\P(0.17\leq \hat p \leq0.30)=0.68$

Thus, there is a 68% chance that between 17% and 30% are smokers.

Compute the range of values that has a probability of 95% as follows:

$P (\mu_{\hat p} - 2\sigma_{\hat p} \leq \hat p \leq \mu_{\hat p} + 2\sigma_{\hat p}) = 0.95\\P(0.236-2\times 0.067\leq \hat p \leq 0.236+2\times0.067)=0.95\\P(0.102\leq \hat p \leq 0.370)=0.95\\P(0.10\leq \hat p \leq0.37)=0.95$

Thus, there is a 95% chance that between 10% and 37% are smokers.

Compute the range of values that has a probability of 99.7% as follows:

$P (\mu_{\hat p} - 3\sigma_{\hat p} \leq \hat p \leq \mu_{\hat p} + 3\sigma_{\hat p}) = 0.997\\P(0.236-3\times 0.067\leq \hat p \leq 0.236+3\times0.067)=0.997\\P(0.035\leq \hat p \leq 0.437)=0.997\\P(0.04\leq \hat p \leq0.44)=0.997$

Thus, there is a 99.7% chance that between 4% and 44% are smokers.

7 0

3 years ago