Answer: the value of her investment after 4 years is £8934.3
Step-by-step explanation:
The formula for determining compound interest is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount invested.
t represents the duration of the investment in years.
From the information given,
P = 8000
r = 2.8% = 2.8/100 = 0.028
n = 1 because it was compounded once in a year.
t = 4 years
Therefore,
A = 8000(1+0.028/1)^1 × 4
A = 8000(1+0.028)^4
A = 8000(1.028)^4
A = £8934.3 to the the nearest penny
Answer:
first box (x): 10
second box (y): 12
Step-by-step explanation:
HIJ is a translation of HIJ
translation just means you move the whole thing without any rotations dialations ect just moving it
from the blue shape it is asking what do you have to do to the x and y to get to the purple shape
you have to go +_x and take away _y
when you add a digit to x it moves to the right
when you add a digit to y it goes one up
because the HIJ are equaly spaced it dosnt matter which one we choose cause it will have the same answer
im going to use J
on the blue J you can see the x value is -8
the purple J's value is 5
to get from -5 to 5 you add 10
-5+5=0
0+5=5
5+5=10
therefore the first box (x) is 10
same thing for the y value im going to use J again
blue y value of J is 7
purple y value of J is -5
their distance is 12
7-7=0
0-5=-5
7+5=12
second box (y) is 12
i hope this helps
Answer:
1,133
Step-by-step explanation:
2%=0.02
$22.66÷0.02=$1,133
The equation in which b varies directly as the <em>square</em> root of c is b = 50 · √c. (Correct choice: B)
<h3>What is the equation of the direct variation between two variables?</h3>
In this problem we have a case of <em>direct</em> variation between two variables, which is mathematically described by a <em>direct proportionality</em> model, whose form and characteristics are shown below:
b ∝ √c
b = k · √c (1)
Where k is the <em>proportionality</em> constant.
First, we determine the value of the constant of proportionality by substituting on b and c and clearing the variable: (b = 100, c = 4)
k = b / √c
k = 100 / √4
k = 100 / 2
k = 50
Then, the equation in which b varies directly as the <em>square</em> root of c is b = 50 · √c. (Correct choice: B)
To learn more on direct variation: brainly.com/question/14254277
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