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2 years ago

Brian invests £4700 into his bank

Mathematics

1 answer:

uysha [10]2 years ago

6 0

Answer:

$5518.93

Step-by-step explanation:

Compound interest formula:

$A=P(1+\frac{r}{n})^{nt}$

where P is the principal (starting amount), r is the interest rate, n is the number of times compounded per year, and t is the time in years.

The known variables are:

P = $4700
r = 5.5%
n = 1
t = 3

Plug those 4 into the equation now and solve for A:

$\rightarrow A=4700(1+0.055)^3\\\rightarrow A=4700(1.055)^3\\\rightarrow A=4700\times1.1742\\\rightarrow A=5518.9345$

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Using a trigonometric ratio to find a side length in a right triangle. ROUND TO THE NEAREST TENTH ‼️ Can someone help me please❓

SSSSS [86.1K]

Answer:

x ≈ 34.9

Step-by-step explanation:

Using the sine ratio in the right triangle

sin35° = $\frac{opposite}{hypotenuse}$ = $\frac{20}{x}$

Multiply both sides by x

x × sin35° = 20 ( divide both sides by sin35° )

x= $\frac{20}{sin35}$ ≈ 34.9 ( to the nearest tenth )

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3 years ago

The Drama Club plans to take and sell pictures at homecoming to raise funds for an upcoming play. They paid $25 to rent lighting

anyanavicka [17]

Answer:

They will need 7 pictures. yw

Step-by-step explanation:

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3 years ago

The time it takes a customer service complaint to be settled at a small department store is normally distributed with a mean of

noname [10]

Answer:

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 10 minutes and a standard deviation of 3 minutes

This means that $\mu = 10, \sigma = 3$

Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.

This is 1 subtracted by the p-value of Z when X = 15, so:

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

$Z = \frac{15 - 10}{3}$

$Z = 1.67$

$Z = 1.67$ has a p-value of 0.9525.

1 - 0.9525 = 0.0475.

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

5 0

3 years ago

How many breaths does it take jesse to fill a balloon?

Aleksandr [31]

Answer:

8.8 breaths

Step-by-step explanation:

5 0

3 years ago

Both questions please

Nataly [62]

Let there be $h$ 50 cent coins (call them halfs), $d$ 10 cent coins (dimes) and $n$ 5 cent coins (nickles).

81 coins:

$h+d+n=81$

Three more dimes than halfs:

$d=h+3$

Nickels are twice halfs plus dimes:

$n=2(h+d)$

Three equations in three unknowns. We'll eliminate $n$ first:

$n=81-(h+d)=2(h+d)$

$81=3(h+d)$

$h+d=27$

Substituting $d=h+3$

$h+h+3=27$

$2h=24$

$h=12$

$d=h+3=15$

$n=2(h+d)=2(27)=54$

Check we have the right number of coins:

$h+d+n=12+15+54=81 \quad\checkmark$

Good. The amount of money is

$50h+10d+5n=0.50(12)+0.10(15)+0.05(54)=\$10.20$

Part 2.

a for amount Tim gave cousin. Initially Tim has $146.65, cousin $10.55

After he gave the money Tim had twice as much:

$146.65 - a = 2(10.55 + a)$

$146.65 - a = 21.10 + 2a$

$146.65 - 21.10 = 3a$

$a = \dfrac{146.65 - 21.10}{3}= 41.85$

That's the answer to b. After the transfer the cousin has $10.55+41.85=\$52.40$

4 0

3 years ago