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3 years ago

Jordan invests £2400 into his bank account.

Mathematics

1 answer:

Alexxandr [17]3 years ago

7 0

Answer: £2760

Step-by-step explanation:

Use the formula: $A=P(1+rt)$ .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

$A=2400(1+(0.025)(6))$

Simplify.

$A=2400(1+(0.025)(6))$

$A=2400(1+0.15)$

$A=2400(1.15)$

$A= 2760$

£2760 is the answer.

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missed my lecture and need help with this derivative, I tried looking at online resources but I just got confused so if someone

Zigmanuir [339]

Derivative with respect to x: $12x^2y^2-\frac{z^3}{x}+16x^{15}$

Derivative with respect to y: $8x^3y-4e^zy^3+4$

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Step-by-step explanation:

We can calculate three derivatives for this function: the derivative with respect to x, the derivative with respect to y, and the derivative with respect to z.

We start with the derivative with respect to x:

$\frac{df}{dx}=4(3x^{3-1})y^2 -0 +z^3(-x^{-1})+0-16x^{16-1}=\\=12x^2y^2-\frac{z^3}{x}+16x^{15}$

Then we calculate the derivative with respect to y:

$\frac{df}{dy}=4x^3(2y^{2-1})-e^z(4y^{4-1})+0+4y^{1-1}=8x^3y-4e^zy^3+4$

Finally, we calculate the derivative with respect to z:

$\frac{df}{dz}=0-e^z y^4 +\frac{3z^{3-1}}{x^2}+0-0=-e^z y^4 +\frac{3z^2}{x^2}$

Learn more about differentiation:

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3 years ago

helen didvided her colored pencils evenly among herself and three freinds. write an expression to represent the number of pencil

svetoff [14.1K]

So, As Helen divides these pencils, she will divided among, herself, and also her other friends.

This would then signify that the expression would look like the following:

$\boxed{p\div(4)}$

We really do not know how many pencils Helen had, so this is why <em>p </em>is in the equation.

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3 years ago

A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than

Lemur [1.5K]

Answer:

4.65% probability that a randomly selected customer takes more than 10 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 7.45, \sigma = 1.52$

Probability that a customer takes more than 10 minutes:

This is 1 subtracted by the pvalue of Z when X = 10. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 7.45}{1.52}$

$Z = 1.68$

$Z = 1.68$ has a pvalue of 0.9535

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4.65% probability that a randomly selected customer takes more than 10 minutes

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2 years ago

Find the exact length of the third side

devlian [24]

You can use the Pythagorean theorem, a^2+b^2=c^2, to solve this.

b= square-root of (c^2)-(a^2)

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b= 8.77.... which in the exact form is square root of 77.

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2 years ago

There are 1,570 souvenir paperweights that need to be packed in boxes. Each box will hold 17 paperweights. How many boxes will b

arlik [135]

Answer:

93 boxes will be needed.

Step-by-step explanation:

Divide 1570 ÷ 17

This gives the answer 92.35

So 92 boxes won't be enough. 0.35 of a box itsn't helpful in the real world. So you need 93 boxes.

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2 years ago