6. The complement of an angle is 5 less than four times the angle. Find the measure of the angle.

Mathematics

1 answer:

Korvikt [17]3 years ago

7 0

The first angle is 76 and the second angle is 14. You can check this by doing 14+5=19 and then multiply that by 4.

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Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How

mixer [17]

To solve this, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year

For the first 4 years we know that: $P=2350$ , $r= \frac{4.2}{100} =0.042$ , $t=4$ , and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, $n=1$ . Lest replace those values in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2350(1+ \frac{0.042}{1} )^{(1)(4)}$
$A=2350(1+0.042)^{4}$
$A=2770.38$

Now, for the next 6 years the intial investment will be the final amount from our previous step, so $P=2770.38$ . We also know that: $r= \frac{4.9}{100} =0.049$ , $t=6$ , and $n=1$ . Lets replace those values in our formula one more time:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2770.38(1+ \frac{0.049}{1})^{(1)(6)$
$A=2770.38(1+0.049)^6$
$A=3691.41$

We can conclude that Collin will have £3691.41 in his account after 10 years.

4 0

4 years ago

Xample 2

valentina_108 [34]

Answer:

Median: 17

Q1: 10

Q3: 23

Step-by-step explanation:

2, 4, 9, 11, 12, 16, 18, 20, 22, 24, 28, 32

Median is middle number/average of the 2 middle numbers. 16 + 18 = 34/2 = 17

First/lower quartile/Q1 = middle of lower half of ordered data set