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rodikova [14]
2 years ago
11

What is the value of x for which3/4=x/12​

Mathematics
1 answer:
mamaluj [8]2 years ago
4 0

Answer:

the value of x will be 9

x = 9

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Nancy has $4,111 in an account that pays 1.07% interest compounded monthly. What is her
GuDViN [60]

Answer:

$4199.88

Step-by-step explanation:

We're gonna use the compound interest formula: P = A(1 + r/n)^nt

P = final amount

A = starting amount (4,1111)

r = rate (0.0107)

n = times applied (12 since it's quarterly)

t = years (2 x 12 = 24)

P = 4,111(1 + 0.0107/12)^24

P = 4,111(1 + .0008916666...)^24

P = 4,111(1.021621)

P = 4,199.883441

Round it to 4199.88

6 0
3 years ago
If they immediately ran in opposite directions with speeds of 180 feet per minute and 120 feet per minute respectively, how many
Olin [163]
2420 / (180 + 120) = 8 2/3 minutes.
5 0
3 years ago
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Use mathematical induction to prove that if L is a linear transformation from V to W, then L (α1v1 + α2v2 +· · ·+αnvn)= α1L (v1)
e-lub [12.9K]

Answer:

The proof is shown in the explanation below.

Step-by-step explanation:

Analysis:

The proof by induction focuses on n. In this case, let n = 1, and L^{1} will be a linear operator since L^{1} = L

The exercise will show that L^{n} is a linear operator on V and that L^{n+1} is also a linear operator on V. This, follows that:

L^{n+1} (av) = L(L^{m}(v_{1}+v_{2})\\                   = L(L^{m} (v_{1} + L^{m}v_{2})\\                   = L(L^{m}v_{1} + L(L^{m}v_{2})\\                   = L^{m+1}(v_{1}) + L^{m+1}(v_{2})

6 0
2 years ago
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In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Alona [7]

Answer:

f(x) = x^3 +5x^2-4x-20

Step-by-step explanation:

Given

Zeros: -5,-2,2

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

f(x) = (x - a)(x - b)(x - c)

So, we have:

Zeros: -5,-2,2

f(x) = (x - (-5))(x - (-2))(x - 2)

Open the inner brackets

f(x) = (x +5)(x +2)(x - 2)

Expand the difference of two squares

f(x) = (x +5)(x^2 - 4)

Expand

f(x) = x^3 +5x^2-4x-20

4 0
3 years ago
1. If 36 donuts cost $15.00, what would be the cost for one 12 donuts?
hram777 [196]

Answer: $5 their are 36 donuts and 12 x 3 is 36 and 5 x 3 is 15

5 0
2 years ago
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