10 kilograms is equal to 10,000 grams
Step-by-step explanation:
1 kilogram = 1000 grams
To know how many grams does 10 kilograms consists is we need to multiply with 1000 to 10 then we can obtain 10 kilograms in grams.
10 kilograms = 10 × 1000
10 kilograms = 10,000 grams.
"Kilogram" is the unit of "mass". The standard unit of "mass" in the "International system" of units the "mass" is represented by "Kilogram".
The symbol for "Kilogram" is "Kg".
Find the common denominator for both unlike fractions.
EX: 1 2
12 8
The lowest common factor is both fractions is 24. Multiply both denominators to get 24.
Do not forget to multiply the numerators with the number you used to multiply the denominators together.
You do not have to multiply each side by the same number.
Answer:
The value of annuity is 
Step-by-step explanation:
From the question we are told that
The periodic payment is 
The interest rate is 
Frequency at which it occurs in a year is n = 4 (quarterly )
The number of years is 
The value of the annuity is mathematically represented as
![P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%20P%20%2A%20%20%5B1%20%20-%20%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7B-t%20%2A%20n%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
(reference EDUCBA website)
substituting values
![P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20250%20%2A%20%20%5B1%20%20-%20%281%20%2B%20%5Cfrac%7B0.05%7D%7B4%7D%20%29%5E%7B-10%20%2A%204%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7B0.05%7D%7B4%7D%20%29%7D%7B%20%5Cfrac%7B0.08%7D%7B4%7D%20%7D%20%5D)
![P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%20250%20%2A%20%20%5B1%20%20-%20%281.0125%20%29%5E%7B-40%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281.0125%20%29%7D%7B0.0125%7D%20%5D)
![P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%20250%20%2A%20%20%5B0.3916%20%5D%20%2A%20%5B%5Cfrac%7B%281.0125%29%7D%7B0.0125%7D%20%5D)
Answer:
17 and 38
Step-by-step explanation:
x + y = 55......x = 55 - y
x * y = 646
y(55 - y) = 646
55y - y^2 = 646
y^2 - 55y + 646 = 0
(y - 17)(y - 38) = 0
y - 17 = 0 y - 38 = 0
y = 17 y = 38
ur numbers are 17 and 38
Answer:
expanded:
y = sin(4x)*sin(4x)*cos(3x)
need to use the product rule and chain rule
look at individual derivatives, use chain rule
d/dx sin(4x) = 4cos(4x)
d/dx cos(3x) = -3sin(3x)
put it together using product rule
dy/dx = 4cos(4x)*sin(4x)*cos(3x) + 4cos(4x)*sin(4x)*cos(3x) - 3sin(3x)*sin(4x)*sin(4x)
simplify
dy/dx = 8cos(4x)*sin(4x)*cos(3x) - 3sin(3x)*sin2(4x)
answer is A.
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