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CaHeK987 [17]
3 years ago
12

Help.....please explain show your work

Mathematics
1 answer:
pshichka [43]3 years ago
4 0
Well pick an answer and press submit
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Find the sum of the least and greatest two digit prime numbers whose digits are also prime?
adoni [48]
First, we need to know the smallest two digit prime number. It can't start with one, since one is not prime, so it must start with two (or be in the twenties.) 20 is divisible by 2, 4, 5, and 10, 21 is divisible by 7 and 3, 22 is divisible by 2 and 11, so the smallest prime number is 23.

Now we need the largest two-digit prime number. It cannot start with nine or eight, since both are composite, so it must start with seven (be in the seventies.) 79 is the largest integer in the seventies and also happens to be prime, so there's our largest two digit prime number.

now we just need to add them for the sum:
23+79=102

hope I helped, and let me know if you have any questions :D
7 0
3 years ago
you find a mutual fund that offers approximately 7.5% APR compounded monthly you will invest enough each month to have 2000 at t
Nastasia [14]

Answer:

Assume you will invest fixed amount x at the starting of each month

S(12): (1.00625x)*(1.00625^(12)-1)/(1.00625-1) = 2000

x=160

you will invest fixed amount 160 at the starting of each month and get 2000 at the end of the year ,which compounded 7.5% monthly.

how much will you have invested at the end of the first year ?

160*12=1920


6 0
3 years ago
Read 2 more answers
Adam and Tom share a sum of money in the ratio 18:17
Digiron [165]

x = total amount split between Adam and Tom.

since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.

\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft

5 0
2 years ago
What is Intercept of functions?
ICE Princess25 [194]
We have the Y-Intercept and the X-Intercept
The Y-Intercept implies that the X variable is set to zero and the X-Intercept implies that the Y variable is set to zero when solving equations of a line.
6 0
3 years ago
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Which symbol will make the number sentence -5 -- 5 true? <br> A =<br> b
Wittaler [7]

Answer: b

Step-by-step explanation:

8 0
2 years ago
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