Answer:
£ 6,564.70
Step-by-step explanation:
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years
Compound Interest formula =
A = P(1 + r/n)^nt
A = Final Amounrt
P = Principal = £6,000
r = Interest rate = 4.6%
t = Time in years = 2 years
n = Compounding frequency = Yearly = 1
First, convert R percent to r a decimal
r = R/100
r = 4.6%/100
r = 0.046 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 6,000.00(1 + 0.046/1)^(1×2)
A = £ 6,564.70
The amount in his account after 2 years = £ 6,564.70
Answer:
0.0009
Step-by-step explanation:
n = 8
This is the left tailed test .
The null and alternative hypothesis is ,
Test statistic = z=-3.12 from the table.
P(z <-3.12 ) = 0.0009
P-value =0.0009
Amount decrease = 380 - 225 = 155
percent = 115/380 * 100 = 40.8 %
Answer:
Number 1
Step-by-step explanation:
The equation is y^2+x^2=16 for the basic circle, so 4) is eliminated. Then, it goes down 1 y-unit and right 2 x-units, so 2) is eliminated as well. The reason 3 is wrong is because in an equation, when you add to the x then it goes left, and when you subtract from y it goes up. That means that only number 1 is a viable solution
<u><em>Answer:</em></u>
The intersection point is (-4,-19)
<u><em>Explanation:</em></u>
<u>The two given equations are:</u>
y = 5x + 1
y = 2x - 11
<u>To find the intersection point, we will start by equating the two given equations and solving for x</u>
<u>This is done as follows:</u>
5x + 1 = 2x - 11
5x - 2x = -11 - 1
3x = - 12
x = -4
<u>Then, we will use the x and substitute in any of the equations to get the value of y</u>
<u>Using the first equation:</u>
y = 5x + 1 = 5(-4) + 1 = -19
<u>Check using the second equation:</u>
y = 2x - 11 = 2(-4) - 11 = -19 ................? checked
<u>Therefore:</u>
The intersection point between the two given equations is (-4,-19)
Hope this helps :)
