Answer: Ramey has 27 and Judy has 15
Step-by-step explanation:
Just bc 27 + 15 is 42
Answer:
<em>c=6, d=2</em>
Step-by-step explanation:
<em>Equations
</em>
We must find the values of c and d that make the below equation be true
![\sqrt[3]{162x^cy^5}=3x^2y \sqrt[3]{6y^d}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%3D3x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D)
Let's cube both sides of the equation:
![\left (\sqrt[3]{162x^cy^5}\right )^3=\left (3x^2y \sqrt[3]{6y^d}\right)^3](https://tex.z-dn.net/?f=%5Cleft%20%28%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%5Cright%20%29%5E3%3D%5Cleft%20%283x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D%5Cright%29%5E3)
The left side just simplifies the cubic root with the cube:
![162x^cy^5=\left (3x^2y \sqrt[3]{6y^d}\right)^3](https://tex.z-dn.net/?f=162x%5Ecy%5E5%3D%5Cleft%20%283x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D%5Cright%29%5E3)
On the right side, we'll simplify the cubic root where possible and power what's outside of the root:
Simplifying
Equating the powers of x and y separately we find
c=6
5=3+d
d=2
The values are
Answer:
Step-by-step explanation:
Given that a store receives shipments of peaches. They want to sort them by weight.
The sorting pattern is as follows:
Peaches : Pound = 2:1 or 3.25:1 or 1:3.25
Given are i) 26 peaches to 13 lbs = 26:13=2:1 Hence goes to the first box
ii) 6 peaches to 19.5 lbs =6:19,5 = 1:3,25 lb. Hence goes to II box
iii) 13 peaches to 4 lbs: =13:4=3.25:1 Hence goes to II box
iv) 39 peaches to 12 lbs: =39:12=3.25:1 Hence goes to II box
v) 15 peaches to 7.5 lbs: =15:7.5=2:1 Hence goes to I box
i - I box
ii - II box
iii - II box
iv) - II box
v) - I box
Answer:
The amount of money originally invested which is the principal P = 5,000
Step-by-step explanation:
Using the compound interest formula, the return on investment can be represented on the interest function as;
f(x) = P(1+r)^x
Where
P is the principal which is the initial investment.
r = rate Proportion
x = time (number of years)
Comparing to the given function;
f(x) = 5,000(1 + 0.04)^x
We can see that;
Principal P = 5,000
Rate r = 0.04
time = x
The amount of money originally invested which is the principal P = 5,000
