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Mariulka [41]
3 years ago
13

find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:56

Step-by-step explanation:

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What is the domain of the function y=3 In x graphed below?​
8_murik_8 [283]

Answer:

x>0

Step-by-step explanation:

points exist on the right of the graph so the domain is x>0

4 0
2 years ago
Walter invests $12,000, part at 7% annual interest and part at 8.5% annual interest. How much is invested at each rate if Reggie
MAXImum [283]

Answer:

for 7% , $8,000

for 8.5%, $4,000

Step-by-step explanation:

Key amount at 7% be x and amount at 8.5% be y

Mathematically;

x + y = 12,000 ••••••(i)

Let’s now work

with the interest;

7% of x + 8.5% of y = 900 ••••••(ii)

0.07x + 0.085y = 900

So we have two equations to solve simultaneously

From 1, x = 12,000-y

Substitute this into ii

0.07(12000-y) + 0.085y = 900

840-0.07y + 0.085y = 900

0.015y = 900-840

0.015y = 60

y = 60/0.015

y = 4000

x = 12000-4000

x = $8,000

7 0
3 years ago
Yesterday, teddy played a game repeatedly on his computer and won exactly 85% of the games he played. today, teddy played the sa
Eduardwww [97]
The equation we use here is:
(0.85)x +(1.00)y = (0.94)(x + y)
x is for the number of games he played on first day, y is the games on second day. The coefficients are the decimal form of percentages.

Simplify:
0.85x + y = 0.94x + 0.94y \\ \\ 0.06y = 0.09x \\ \\ \frac{6y}{100} = \frac{9x}{100} \\ \\ 6y = 9x \\ \\ 2y = 3x

To find x we need to use the ratio. We have 85/100 as the first day's ratio and because the games needs to be whole, we can simplify this as 17/20. So in first day, he played at least 20 games and won 17 of them.

When we plug the 20 into the equation as x:
2y = 3 \times 20 \\ \\ 2y = 60 \\ \\ y = 30
So he needs to play at least 30 games in order to get his score to 94%.
5 0
4 years ago
Read 2 more answers
Karen finished watching a movie at 1:10pm. The movie lasted 1 hour 38 minutes. Click on the time Karen started watching the movi
lara [203]

Answer:

11:32

Step-by-step explanation:

Karen probably started watching the movie at 11:32 because 11:32 + 1:38 = 1:10.

32+ 38= 70, so 11:00 + 70 = 12:10, plus 1 hour = 1:10.

5 0
3 years ago
Read 2 more answers
Solve this x2 – 8x + 15
STALIN [3.7K]

Answer:

x=5    x=3

Step-by-step explanation:

x^2 – 8x + 15

What two numbers multiply to 15 and add to -8

-5*-3 = 15

-5 +-3 = -8

(x-5) (x-3) =0

Using the zero product property

x-5 =0         x-3 =0

x=5                x=3

6 0
3 years ago
Read 2 more answers
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