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GaryK [48]
3 years ago
8

41.7 x 2.3Work out this question ​

Mathematics
1 answer:
natta225 [31]3 years ago
5 0
41.7 x 2.3 = 95.91 , im going to work it out on a paper !
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HELP PLEASE What is the remainder when f(x) = x2 + 14x − 8 is divided by (x − 3)?
11111nata11111 [884]

Answer:

43

Step-by-step explanation:

Using the remainder theorem, that is

The remainder on dividing f(x) by (x - h) is the value of f(h)

here division by (x - 3) hence evaluate f(3) for remainder

f(3) = 3² + 14(3) - 8 = 9 + 42 - 8 = 43 ← remainder

6 0
3 years ago
A vehicle is purchased for $18,000, with a down payment of $6,098. The balance in financed for three years at an annual rate of
mestny [16]
The Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt)/(r/t)
where: P is the monthly payment, r is the annual rate = 7% = 0.07, t is the number of periods in one year = 12 and n is the number of years = 3.

18,000 - 6,098 = P(1 - (1 + 0.07/12)^-(3 x 12)) / (0.07/12)
11,902 = P(1 - (1 + 0.07/12)^-36) / (0.07/12)
P = 0.07(11,902) / 12(1 - (1 + 0.07/12)^-36) = 367.50

Therefore, monthly payment = $367.50
7 0
3 years ago
The product of (3 − 4i) and____is 25.
LiRa [457]

(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}

9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}

6 0
3 years ago
Give the boundaries of the indicated value.<br> 29.4 miles<br> The boundaries are<br> miles.
sineoko [7]

Answer:

The boundaries for the observed value, 42.8 miles are 42.75 miles up to 42.85 miles.

Step-by-step explanation:

hope it helps you friend ☺️

6 0
3 years ago
Simplify -3x+1y+8x-8y
Fudgin [204]

Answer:

-3x +1y +8x -8y

=5x-7y

The answer is: 5x-7y

6 0
3 years ago
Read 2 more answers
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