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2 years ago

Cynthia invests some money in a bank which pays 5% compound interest per year.

Mathematics

1 answer:

shtirl [24]2 years ago

6 0

Answer:

£6,910.70

Step-by-step explanation:

The computation of the amount invested is given below:

As we know that

Amount = Principal × (1 + rate of interest)^number of years

£8000 = Principal × (1 + 0.05)^3

£8000 = Principal × 1.05^3

£8000 = Principal × 1.157625

So, the principal amount is

= £8000 ÷ 1.157625

= £6,910.70

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patriot [66]

$2 \frac{5}{6}*2= \frac{17}{6}* \frac{2}{1} = \frac{17}{3}= 5\frac{2}{3}$

$5 \frac{2}{3}: \frac{1}{4}= \frac{17}{3}* \frac{4}{1}= \frac{68}{3} =22 \frac{2}{3}$

23 stones will be needed
(you have to round up, since you can't have a fraction of a stone)

4 0

2 years ago

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Examine the diagram. Triangle A B C. Side A C is parallel to a line. The line is at angle B. The angles formed by the line are 7

Marina CMI [18]

Answer:

alternate exterior angles m∠A =70 °

m∠B =80 °

m∠C =30 °

Step-by-step explanation:

8 0

3 years ago

A computer company produces an extremely light laptop and they claim it is the lightest on the market weighing only 32 ounces. t

Darina [25.2K]

Solution: We are given:

$\mu=0.33, \sigma =0.7$

Let $x$ be the weight (oz) of laptop

We have to find $P(x>32)$

To find the this probability, we need to find the z score value.

The z score is given below:

$z=\frac{x-\mu}{\sigma}$

$=\frac{32-33}{0.7}$

$=-1.43$

Now, we have to find $P(z>-1.43)$

Using the standard normal table, we have:

$P(z>-1.43)=0.9236$

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4 0

2 years ago

QUICK PLS HELP

Lilit [14]

Answer:

Step-by-step explanation:

60% = 7.2/12

83% = 10/12

He improved by a supposed 23%

5 0

2 years ago

Consider the function f ( x ) = 1 − 4 x 2 on the interval [ − 1 , 3 ] . Find the average or mean slope of the function on this i

Blababa [14]

Answer:

The average slope is 8.

Step-by-step explanation:

Let <em>f</em> be defined on the closed interval [a, b]. The average slope of <em>f </em>between a and b is the quotient

average slope = $\frac{f(b)-f(a)}{b-a}$

To find the average slope of the function $f(x)=1-4x^2$ on the interval [-1, 3] you have to evaluate your function in the interval and then divide by the interval.

So,

$f(-1)=1-4(-1)^2=-3\\\\f(3)=1-4(3)^2=-35$

The average slope is $\frac{f(3)-f(-1)}{3+1}= \frac{-3+35}{3+1}=\frac{32}{4}=8$

4 0

2 years ago