You invested 19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1220, how much was invested at each rate?

answer: [tex]2^{3} a^{3} b^{12}[/tex]

steps:

you multiply each variable by 3.

example being: 2 x [tex]x^{3}[/tex] is [tex]2^{3}[/tex]

you do this with each of them

hope this helps! <3

Answer:

1. 12r= 2

2. 60r - 4= 6

3. 3r power of 2= 1/12

Step-by-step explanation:

1. 12r = 12* 1/6= 12/6= 2

2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6

3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12

or

(3*1/6) power of 2= (1/2) power of 2= 1/4

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Answer: x-1/8y^2=0

Hope this helps any !

Answer:

(BD)^2 + (DC)^2 = (BC)^2

(BD)^2 + (15)^2 = (25)^2

(BD)^2 +225 =625

(BD)^2= 400

BD= 20cm

Step-by-step explanation:

Answer:

h=10.2

Step-by-step explanation:

add 34 on both sides so you would have 5h =51 then you divide 51 by 5 so you are left with h = 10.2! have a great day!!

Answer:

[tex]Scale = 1.5[/tex]

Step-by-step explanation:

Given

[tex]Printer = (4.5',3')[/tex]

[tex]Keogh = (3',2')[/tex]

Required

Determine the scale

This is calculated as:

[tex]Scale = \frac{Original}{Actual}[/tex]

[tex]Scale = \frac{(4.5,3)}{(3,2)}[/tex]

Factorize the numerator

[tex]Scale = \frac{1.5 * (3,2)}{(3,2)}[/tex]

Scale = \frac{1.5 * (3,2)}{(3,2)}[tex]Scale = 1.5 * \frac{(3,2)}{(3,2)}[/tex]

[tex]Scale = 1.5 * 1[/tex]

[tex]Scale = 1.5[/tex]

Answer:

? there is no picture.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ummm

Answer:

https://brainly.in/...,..,

Answer:

38.4895cm²

Step-by-step explanation:

area of a circle with r=7

3.142×7² = 153.958

153.958/4 = 38.4895

Answer:

9

Step-by-step explanation:

'Here are 5 number cards, '2' '5' '7' '8' '9'. One of the cards is removed and the mean average of the remaining 4 cards is 6. Which card was removed (Please show your working).

Answer:

[tex]Solution,\\The~all~sides~of~rhombus~are~equal.\\So, ~DM = DK\\or, 5y+2=3y+6\\or, 5y-3y=6-2\\or, 2y=4\\or, y=2\\We~have, DM=KL=5y+2 = 5(2)+2=12\\[/tex]

∴[tex]KL = 12[/tex]

Answer:

(3) Median

Step-by-step explanation:

I would say median because it most likely wouldn't be any of the others. Mean would be thrown off with the outlier 0.80. Mode wouldn't really work for this. I don't think standard deviation would work because this isn't coninuous data.

Hope it helps and is correct!

The answer is 3.5 pounds

Answer:

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

Step-by-step explanation:

✔️Find the rate of change:

Rate of change using two of the given pair, say (0, -5) and (1, -7)

Rate of change (m) = ∆f(x) / ∆x = (-7 -(-5)) / (1 - 0) = -2/1 = -2

✔️Find y-intercept (b):

y-intercept (b) = -5 because the y-intercept is the value of f(x) when x = 0.

✔️Substitute m = -2 and b = -5 into f(x) = mx + b

Thus,

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

f(x) = -2x - 5

Answer:

r = 5 inches

Step-by-step explanation:

because if your trying to find the radius from the diameter you divide by 2

Answer:

5d

Step-by-step explanation:

Every member pays 5 dollars. So the number will multiply by 5 everytime a member pays.

Answer:

706.5 cm²

Step-by-step explanation:

Surface area of the open cylinder with only one base = surface area of cylinder - area of one of the base

= 2πr(h + r) - πr²

Where,

r = 9 cm

h = 8 cm

π = 3.14

Plug in the values into the equation

Area of the open cylinder with one base = 2*3.14*9(8 + 9) - 3.14*9²

= 56.52(17) - 254.34

= 960.84 - 254.34

= 706.5 cm²

Answer:

Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Step-by-step explanation:

Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:

Sonja = 8/12 = 0.666 x 12 = 8

Olga = 5/6 = 0.83333 x 12 = 10

Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Answer:

The maintained speed while hiking= 3 miles per hour

Let t be the time which represent the independent variable.

Also we know that  Distance= Speed × Time

⇒ Distance traveled while hiking=3 ×t=3t

Let h represent the distance function in miles, and h(t) the dependent variable.

Then h(t)=3t

When we put t=4

Then h(4)=3×4 =12 miles.

Step-by-step explanation:

Answer:

am not really sute bt its ..no

Answer:

Step-by-step exRebecca spent $5.95 on 7 cookies. Rebecca spent $

Round your answer to the nearest cent if necessary.

per cookieplanation:

Answer:

Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5

Answer:

£2060

Step-by-step explanation:

If the bank pays then you are earning.

3% of 2000 = 60

2000 + 60 = 2060

Answer:

It is c.12

Step-by-step explanation:

I just took the test(Plato)