if £2000 is placed into a bank account that pay 3% compound interest per year how much will be in the account after 2 year

Mathematics

1 answer:

zalisa [80]3 years ago

6 0

Use the compound amount formula:

A = P(1+r)^t

Here, A = £2000 (1+0.03)^2 = £2121.80 (answer)

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Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge

sammy [17]

Answer:

$7.62 per hour

Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

$F=P(1+r)^t$

Where,

F is the future value (what we want to find)
P is the present rate ($6.5)
r is the rate of growth, in decimal (2% growth means 0.02)
t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

Now plugging in all the info, we get the value of F:

$F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62$

Thus, after 2 years, Heather's hourly rate will be $7.62

7 0

3 years ago

Write the expression fourteen added to the product of seven and a number

victus00 [196]

Answer:

(7×x)+14

Step-by-step explanation: Because we have 14 added to something, we will need a + to whatever we are adding to. The product of 7 and a number is 7×x because product is the number you get after multiplication. So we get 7×x+14. You dont need parenthesis

Hope this helps!

4 0

3 years ago

Point b is the midpoint of ac-. if ab= 4x+2 and ac=10x-6, find the length of ac

Natasha2012 [34]

let's bear in mind that B is the midpoint and thus it cuts a segment into two equal halves.

$\bf \underset{\leftarrow \qquad \textit{\large 10x-6}\qquad \to }{\boxed{A}\stackrel{4x+2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{\underline{4x+2}}{\rule[0.35em]{10em}{0.25pt}\boxed{C}}} \\\\\\ AC=AB+BC\implies 10x-6=(4x+2)+(4x+2)\implies 10x-6=8x+4 \\\\\\ 2x-6=4\implies 2x=10\implies x=\cfrac{10}{2}\implies x= 5 \\\\[-0.35em] ~\dotfill\\\\ AC=(4x+2)+(4x+2)\implies AC=[4(5)+2]+[4(5)+2] \\\\\\ AC=22+22\implies AC=44$