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MariettaO [177]
3 years ago
15

Stephen places £950 in a bank account that pays 1.6% simple interest per year.

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0
A) 15.20
b) 965.2

i hope this is right (^^)
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Is y = 3x+4 and y=3x-5 parallel, perpendicular or neither?
sineoko [7]

Answer: These Lines are <em>Parallel</em>

Step-by-step explanation: For two lines to be parallel, they must have the same slope with different y-intercepts. Both of the lines above have a slope of 3 and differing y-intercepts of 4 and -5. Therefore, these lines must be parallel to one another.

7 0
3 years ago
Read 2 more answers
a square pyramid has a height of 14 cm and a base side length of 7 cm. What is the volume of the pyramid. Show work
Brut [27]

Step-by-step explanation:

The volume of a pyramid or cone is:

V = ⅓ Ah

where A is the area of the base and h is the height.

The pyramid has a square base, so:

A = s²

A = (7 cm)²

A = 49 cm²

The height is 14 cm, so the volume is:

V = ⅓ (49 cm²) (14 cm)

V = 686/3 cm³

V ≈ 228.67 cm³

7 0
3 years ago
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the
a_sh-v [17]

Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

<em>Let </em>\hat p<em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

              Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

           p = true proportion = 0.04

           n = sample size = 469

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be less than 0.03 is given by = P( \hat p < 0.03)

       P( \hat p < 0.03) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.03-0.04}{\sqrt{\frac{0.03(1-0.03)}{469} } } ) = P(Z < -1.27) = 1 - P(Z \leq 1.27)

                                                                      = 1 - 0.89796 = 0.10204

Now, in the z table the P(Z \leq x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

5 0
3 years ago
Solve for x: 0.75x-0.25=3.5
exis [7]

Answer:

x=5

Step-by-step explanation:

3.5=0.75x-0.25

add 0.25 to 3.5

3.75=0.75x

divide 3.75 by 0.75

x=5

4 0
3 years ago
statistical models predict that price p( in dollars) of a new smartphone will change according to the function p=900-4t^2. where
Gre4nikov [31]

we are given

p=900-4t^2

where

price p( in dollars) of a new smartphone

t is the number of months since January

now, we can solve for t

step-1:

Add both sides by 4t^2

p+4t^2=900-4t^2+4t^2

p+4t^2=900

step-2:

Subtract both sides by p

p+4t^2-p=900-p

4t^2=900-p

step-3:

divide both sides by 4

\frac{4t^2}{4} =\frac{900-p}{4}

t^2=\frac{900-p}{4}

t^2=225-0.25p

step-4:

Take sqrt both sides

\sqrt{t^2} =\sqrt{225-0.25p}

t=\sqrt{225-0.25p}

so, we get

t=\sqrt{225-0.25p}..............Answer

7 0
3 years ago
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