Answer:
24) $495
25) 14%
26) 25/X = 83/100
27) 0.7p
28) x + .085x and 1.085x
29) $221.90
30) $24.10
31) $6.13
32) 40%
Step-by-step explanation:
24) 600 - (600 × 0.25) = 450
450 × 1.10 = 495
25) (106 - 93) ÷ 93 = 0.13978
0.13978 × 100 = 13.978 ~ 14
27) 1.0 - 0.3 = 0.7
28) 1.00 + 0.085 = 1.085
29) 100% - 15% = 85%
240 × 0.85 = 204
204 × 1.0875 = 221.85
30) 25.89 × 4 = 103.56
103.56 + 179.99 = 283.55
283.55 × 0.085 = 24.10175
31) 8.75 × 0.70 = 6.125
32) 80 - (80 × 0.40) = 48
Answer:
42.64°
Step-by-step explanation:
Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.
From the diagram attached,
sinθ = opposite/adjacent
sinθ = 4/11
θ = sin⁻¹(4/11)
θ = 21.32
Therefore, from the diagram,
The smaller angle of the rhombus = 2θ
The smaller angle of the rhombus = (2×21.32)
The smaller angle of the rhombus = 42.64°
Answer:
Step-by-step explanation:
The missing length is 13 because,
Lets say the top triangle is A and the bottom triangle is B.
Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.
Answer: 13
Answer:
It will take about 35.439 years to triple.
Step-by-step explanation:
Recall the formula for continuously compounded interest:
where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).
Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:
Now,in order to solve for "t" (which is in the exponent, we use logarithms:
Answer:
you put the -3 where the x's are
Step-by-step explanation:
f(x)= -2(-3)^2 - 3(-3) + 6
i think i hope thats right
