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3 years ago

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tony invests some money in a bank which pays 4% compound interest per year. he wants it to be worth over 6000 at the end of 3 ye

ars. what is the smallest amount, to the nearest pound, he can invest

1 answer:

Sliva [168]3 years ago

5 0

Tong is very very cool. He has so so much money he is so cool and he is extremely swag.

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Work out the volume of the prism (answer in 1 decimal place)

Artyom0805 [142]

Answer:

Volume of the Prism = $204 cm^3$

Step-by-step explanation:

Volume of the right triangular prism= $\frac{1}{2}*Length*Width*Height$

Length=8.5 cm

Width= 6 cm

Height= 8 cm

Putting the values in the formula:

Volume of the prism :

$\frac{1}{2}*8.5*6*8\\\\=\frac{1}{2}*8.5*48\\\\ =\frac{1}{2} *408\\\\=204cm^3$

The volume of the Prism is $204 cm^3$

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3 years ago

If the radius of the circle was doubled what effect would it have on the area

ch4aika [34]

Answer:

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

5 0

3 years ago

Read 2 more answers

(6+3)÷(4-5)Evaluate the following numerical expressions.

AlexFokin [52]

Answer: -9

Step-by-step explanation:

(6+3)÷(4-5)

Since 6+3 is 9 and 4-5 = -1

You do 9 divided by -1. It equals -9.

It is -9 since a positive divided by a negative number.

7 0

3 years ago

g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

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3 years ago

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During the final 5 seconds of a race a cyclist increased her velocity from 4 m/s to 7 m/s . What was her average acceleration du

GREYUIT [131]

Answer:

The average acceleration of the cyclist was 0.6 m/s².

Step-by-step explanation:

Acceleration:

The rate change of velocity per unit time is call the acceleration of the object.

$a=\frac{v-u}t$

u= initial velocity

v= final velocity

t= time taken change of velocity.

During the final 5 seconds of a race cyclist increased her velocity from 4m/s to 7 m/s

Here v= 7 m/s and u=4 m/s t=5 seconds

$\therefore a=\frac{7\ m/s-4 \ m/s}{5s}$

$=\frac{3}{5} \ m/s^2$

=0.6 m/s²

The average acceleration of the cyclist was 0.6 m/s².

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3 years ago