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Stolb23 [73]
2 years ago
8

Please help! (I'll give brainliest to the first right answer.)

Mathematics
2 answers:
-BARSIC- [3]2 years ago
4 0

Answer:

1. initial point is (2, 4)

reflected point is (-2, 4)

the coordinates are similar because they involve the same numbers, however, with the reflection across the Y axis, the X point became negative.

2. initial point is (2, 4)

reflected point is (2, -4)

again, same numbers but the X value becomes negative

Hope this helps!

zepelin [54]2 years ago
3 0
1) (2,3)
(-2,3)

2) (2,3)
(2,-3)
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On average, there are 10 customers arrives a local bank per hour. Bob is the only bank teller on duty at the bank currently and
I am Lyosha [343]

Answer:

the probability that no customer will arrive in the next 6 minutes = 0.36788 = 0.368

Step-by-step explanation:

If there are 10 customers per hour, this translates to 1 customer per 6 minutes

So, if there's a mean of 1 customer per 6 minutes, to obtain the probability that no customer will come in a 6 minute interval, this becomes a Poisson distribution problem.

The Poisson distribution formula is given by

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 1 customer per 6 minutes

x = 0 customer per 6 minutes

P(X=0) = (e⁻¹)(1⁰)/0! = 0.36788 = 0.368

7 0
3 years ago
HELP URGENT PLEASE! The Lees have purchased a new home for $360,000, and put a down payment of $50,000 on it. They have a mortga
bonufazy [111]

Answer:

$191,340.80

Step-by-step explanation:

Step 1

We find the amount that is paid monthly by the Lee's

We are told in the question that:

Cost of the house =$360,000

Down payment = $50,000

We are also told, the balance left after the down payment was made = Mortgage that is amortized at an

Interest rate of 5.25%

Time = 20 years

Hence, Mortgage amount = $360,000 - $50,000 = $310,000

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = the total monthly mortgage payment.

P = the principal loan amount.

r = your monthly interest rate.

= rate/12

=5.25%/12 = 0.0525/12

= 0.004375

n = number of payments

= number of years × number of months

= 20 × 12 = 240 payments

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = 310,000[0.004375(1 + 0.004375)^240/((1 + 0.004375)^240 ) - 1]

M = $2,088.92

Therefore, the monthly payment by the Lee's is $2,088.92

Step 2

We calculate the Total Amount paid by the Lee's in 20years because we are told in the question that they paid off their mortgage after 20 years

Total Amount paid = Monthly payments × Number of payments

= $2,088.92 × 240

= $501,340.80

Step 3

The third and final step is to calculate the Total interest paid for 20 years

Total Interest = Total amount paid - Mortgage amount

= $501,340.80 - $310,000

Total Interest: $191,340.80

Therefore,the interest will they have paid in total is $191,340.80

6 0
3 years ago
Alfred drove 114 miles in 3 hours. If Alfred drove at a constant rate, how fast did he drive in miles per hour?
Andreyy89
38 miles per hour.......
6 0
3 years ago
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Score: 0 of 1 pt
nydimaria [60]

Answer:

so halve the deck is black and halve the deck is red so you have 26 black cards then divide by 5 and you get 5 with 1 card leftover

3 0
3 years ago
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3).
shusha [124]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x + 5y = 10 into this form

Subtract x from both sides

5y = - x + 10 ( divide all terms by 5 )

y = - \frac{1}{5} x +2 ← in slope- intercept form

with slope m = - \frac{1}{5}

• Parallel lines have equal slopes, hence

y = - \frac{1}{5} x + c ← is the partial equation of the parallel line

To find c substitute (1, 3) into the partial equation

3 = - \frac{1}{5} + c ⇒ c = \frac{16}{5}

y = - \frac{1}{5} x + \frac{16}{5} ← equation of parallel line

3 0
3 years ago
Read 2 more answers
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