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SSSSS [86.1K]
3 years ago
5

A line passing (a,3) and (5,5) is perpendicular to a line passing through (0,0) and (1,a) Find the value of a.

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

a = -5

Step-by-step explanation:

(5 - 3)/(5 - a)

2/(5 - a)

perpendicular of 2/(5 - a) = -(5 - a)/2

(a - 0)/(1 - 0) = -(5 - a)/2

a/1 = -(5 - a)/2

2a = -5 + a

a = -5

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You deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly, and you make no withdrawals from or
faust18 [17]

Answer:

$5265.71

Step-by-step explanation:

We have been given that you deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly.

We will use future value formula to solve our given problem.

FV=C_0\times (1+r)^n, where,

C_0=\text{Initial amount},

r = Rate of return in decimal form,

n = Number of periods.

4.8\%=\frac{4.8}{100}=0.048

n=3\times 4=12

FV=\$3,000\times (1+0.048)^{12}

FV=\$3,000\times (1.048)^{12}

FV=\$3,000\times 1.7552354909370114

FV=\$5265.7064\approx \$5265.71

Therefore, there will be $5265.71 in your account at the end of those 3 years.

8 0
3 years ago
What is the value of x in simplest radical form?
Vikki [24]

Answer:

It's 90 because we'll make it equal

5 0
2 years ago
The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length
Ivan

Answer:

We know that the kite with the tail is 15 feet and 6 inches. While 6 inches is 0,50 foot, it's 15,5 feet. If the lenght of the kite is x, then:

15,5 = x + 1,5 + 2x

15,5 = 3x + 1,5     / - 1,5 (both sides)

14 = 3x             / : 3 (both sides)

x ≈ 4,66

The kite is approx .4,66 feet long. It means that the tail is about 15,5 - 4,66 = 10,84 feet long.

5 0
3 years ago
Read 2 more answers
Sierra left $4.50 as a tip for a waiter. THis was 18% of the bull before the tip, How much was her total bill before the tip?
andreyandreev [35.5K]

let's say the bill without the tip is "x" amount, so that'd be the 100% of the bill, but we also know that 4.50 is the 18% of "x".

so if 4.50 is the 18% of "x", how much is "x"?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 4.50&18\\ x&100 \end{array}\implies \cfrac{4.5}{x}=\cfrac{18}{100}\implies 450=18x \\\\\\ \cfrac{450}{18}=x\implies 25=x

4 0
3 years ago
Need help on A and B thank you
lesya [120]
A 78 lollll I need points so I’m guessing
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