Answer:
y = 1.44x⁴
Step-by-step explanation:
From the question,
Y∝d²
To remove the proportionality sign we introduce a constant.
Y = kd²............... Equation 1
make k the subject of the equation
k = Y/d²............. Equation 2
Given: Y = 4, d = 10
Substitute these values into equation 2
k = 4/10²
k = 4/100
k = 0.04
Substitute these value of k in equation 1
Y = 0.04d²................ Equation 3
Similarly,
d∝x²,
d = Cx²
make C the subject of the equation
C = d/x²................... Equation 4
Given: d = 24, x = 2
Substitute into equation 4
C = 24/2²
C = 24/4
C = 6
Hence,
d = 6x²................... Equation 5
Substitute the value of d in equation 5 into equation 3
y = 0.04(6x²)²
y = 0.04(36x⁴)
y = 1.44x⁴
Hence the formula for y in terms of x is y = 1.44x⁴
Answer:
the second one
Step-by-step explanation:
It will take 4 year for the account to reach $5,500.
<h3>How to find the amount?</h3>
The formula we use to calculate the amount is
A = P(1+r)¹
Where, P= amount of money invested
r = interest rate percentage in decimal form
t = time in years
A = total money in the account at time
Tina wants to save money for school.
Tina invests $400 in an account that pays an interest rate of 8%.
A = P(1+r)¹
5500 = 400(( 1 + 0.08)^t
5500/ 400 = ( 1 + 0.08)^t
55/ 4 = (1.08)^t
13.75 = (1.08)^t
t = 4
It will take 4 year for the account to reach $5,500.
Learn more about interest;
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The equation cos (35°) = can be used to find the length of one side of a triangle It could be the length of the altitude or the length of the base depending of which the angle 35° was assigned. But in order for us to proceed with the calculation, we also need the length of the hypotenuse since cos (x) are<span> equal to the length of the adjacent side divided by the hypotenuse. The answer is 20.5 </span>
This is a sohcahtoa question, in this case itd be cosine. The "cah" part stands for cos(x)=adjacent/hypotenuse. Using numbers it would be cos(x)=4/12. To find x youd have to take the cos^-1 of both sides so x=cos^-1(4/12)
