Answer:
A) 9^7
Step-by-step explanation:
For this type of problem, since they both have the same base, you can add the exponents together and have the base remain the same. So you would have 5+2 = 7.
Answer:
also jackie has 8 apples and mark has 4 apples
option B is correct
Step-by-step explanation:
a+4=b =>
a+b=12
(a+4) + a =12
1-First let’s list the numbers between 210 to 220, except the even ones since they’re a multiple of 2:
211; 213; 215; 217; 219
Let’s remove 213, and 219 because they’re multiples of 3 (2+1+3=6; 2+1+9=12), 215 is multiple of 5, so let’s remove it.
That leave’s is with 211, and 217.
We can remove 217, because it’s a multiple of 7, leaving us with 211.
2- It’s deductive reasoning, because you started with a more general idea.
3- {-7, -6, -5, -4, -3, -2, -1, 0, 1}
4- {x e R, x>=-2}
5-{-1, 0, 1}
6- {x∣-4≤ x ≤6}
7- [-20, ♾ )
8- On a number line, make a circle around -1, and continue the line to minus infinity.
9- On a number line, make a circle on -3, and continue to minus infinity. Make a ring on 0, and continue to infinity.
Based on the information, Christian would have $5525.5 of annuity.
<h3>How to calculate the annuity?</h3>
According to given information, the number of coffees per week is 3 then, per month is 3x4 = 12
For each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of annuity.
Learn more about annuity on:
brainly.com/question/5303391
#SPJ1
Answer:
x=6
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
x^2 + (x+2)^2 = (2x-2)^2
FOIL (x+2)^2 = x^2 +2x+2x+4 = x^2 +4x+4
FOIL (2x-2)^2 = 4x^2 -4x -4x+4 = 4x^2 -8x+4
Replacing these in to the equation
x^2 +x^2 +4x+4 = 4x^2 -8x+4
Combine like terms
2x^2 +4x +4 = 4x^2 -8x +4
Subtract 4 from each side
2x^2 +4x +4-4 = 4x^2 -8x +4-4
2x^2 +4x = 4x^2 -8x
Subtract 2x^2 from each side
2x^2 -2x^2+4x = 4x^2-2x^2 -8x
4x = 2x^2 -8x
Subtract 4x from each side
4x-4x = 2x^2 -8x-4x
0 = 2x^2 -12x
Factor out a 2x
0 = 2x(x-6)
Using the zero product property
2x =0 x-6 =0
x =0 x-6+6 = 0+6
x = 0 c=6
