Answer:
7
Step-by-step explanation:
2^3 • 2^7 = 2^10
When multiplying exponents, the exponents add up together. In other words, just subtract 10-3 = 7 that would be your missing exponent!
Hope this helps, good luck!
we know he made a profit of 1834 for 200 shirts, let's divide those to see how much profit per shirt
![\cfrac{1834}{200}\implies \cfrac{917}{100}\implies 9.17](https://tex.z-dn.net/?f=%5Ccfrac%7B1834%7D%7B200%7D%5Cimplies%20%5Ccfrac%7B917%7D%7B100%7D%5Cimplies%209.17)
so he made a profit of 9.17 per shirt, now profit is surplus value, value beyond the cost, we know its cost was 5.83 per shirt, so if we take 5.83 to be 100%, how much is 9.17 off of it in percentage?
![\begin{array}{ccll} amount&\%\\ \cline{1-2} 5.83&100\\ 9.17&x \end{array}\implies \cfrac{5.83}{9.17}=\cfrac{100}{x}\implies 5.83x=917 \\\\\\ x=\cfrac{917}{5.83}\implies x \approx 157.29](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccll%7D%20amount%26%5C%25%5C%5C%20%5Ccline%7B1-2%7D%205.83%26100%5C%5C%209.17%26x%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B5.83%7D%7B9.17%7D%3D%5Ccfrac%7B100%7D%7Bx%7D%5Cimplies%205.83x%3D917%20%5C%5C%5C%5C%5C%5C%20x%3D%5Ccfrac%7B917%7D%7B5.83%7D%5Cimplies%20x%20%5Capprox%20157.29)
Answer:
35 grams
Step-by-step explanation:
The ratio of zinc to copper is 3 to 11
A jar of chemical contains 385 grams if copper
Therefore the number of grams of zinc it contains can be calculated as follows
3/11= x/385
11x= 385
x= 385/11
= 35 grams
Hence the chemical contains 35 grams of zinc
For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 100000 * (1.10) ^ 4
y = 146410
Answer:
the value of his house at the start of 2018 is:
y = 146410