9514 1404 393
Answer:
8.6
Step-by-step explanation:
The growth factor per year is 1.012, so in 500 years is ...
1.012^500
The number of doublings is the solution to ...
2^n = 1.012^500
Taking logarithms, we have ...
n·log(2) = 500·log(1.012)
n = 500·log(1.012)/log(2) ≈ 8.6046
About 8.6 doublings will take place in 500 years.
Warner was paid $375.25 for working 25 hours. What was his hourly pay?
Answer:
$15.01 an hour
Step-by-step explanation:
[tex]\frac{375.25}{25}=15.01[/tex]
The cost of 3 pounds of grapes is $9.75. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x? pls help, its due by the end of the day (3 pm)
Answer:
3.75
Step-by-step explanation:
We can write a ratio to solve
3 lbs x lbs
---------- = -----------
9.75 y dollars
Using cross products
3y = 9.75 x
Divide each side by 3
3y/3 = 9.75x/3
y =3.75x
The constant is 3.75
explain or not idc lol
Answer:
B, 20,000
Step-by-step explanation:
429 X 48 = 20,598
If you estimate, it would be 20,000.
So, there you know B, 20,000 is your answer.
The midpoint of the coordinates (9, 11) and (7,8) is
Answer:
The midpoint: (8,9.5)
Step-by-step explanation:
((9+7)/2,(11+8)/2))
Help&Show ur work plz<3
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
The chords subtended by equal arcs are equal.
Therefore,
[tex]2x + 4 = 18[/tex][tex]2x = 14[/tex][tex]x = 7[/tex]Hence, value of x = 7
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
chhering deposite rs. 40000 in a bank at the rate of 5% p.a. if he has to pay 5%of the total interest as tax for the bank how much will he get after 4 years
Answer: Rs 7600
Step-by-step explanation:
The interest will be calculated as:
= Principal × Rate × Time
= 40000 × 5% × 4
= 40000 × 0.05 × 4
= 8000
Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:
= 8000 - (5% × 8000)
= 8000 - (0.05 × 8000)
= 8000 - 400
= 7600
Therefore, he'll get Rs 7600
Ivan and Tanya share £150 in the ratio 4 : 1
Work out how much more Ivan gets compared to Tanya.
Answer:
£90 more
Step-by-step explanation:
4+1=5
150/5=30
I:T
4:1 ×30
120:30
120-30=90
If 6x=48 find the value of 53-7x (A.) 5 (B) -3 (C) -5 (D) 3
Answer:
The answer is -3.
Step-by-step explanation:
If 6x=48, the answer for x is 8. And from there, I did 7(8). And then 53-56 and got -3.
I have 225 in my account I can spend all but 20%
Answer:
20 % is 45 so keep this much remaining
Step-by-step explanation:
Answer:
You can spend 80%. Multiple 225 × 0
80. 225×0.80 = 180. Now you will have $180
Step-by-step explanation:
Have a great day and summer.
You determined that you can make 72 donuts in 2hours. At rate,how many donuts can you make in 8 hours?
Answer:
288 donuts
Step-by-step explanation:
Answer:
288 donuts
Step-by-step explanation:
72 divided by 2 is 36 so that means you will make 36 donuts in 1 hour so now we have our unit rate which is 36. so then you multiply 36 by 8 and you get 288. that is your answer
An automobile insurance company divides customers into three risk categories: Good (G), Medium (M), and Poor (P). Assume the following distribution of customers: 70% are Good risks, 20% are Medium risks, and 10% are Poor risks. Assume that the probabilities of a customer filing an accident claim (C) in the course of a year are: 0.5% for Good, 1% for Medium, and 2.5% for Poor. A customer is chosen at random.
a) What is the probability that the customer is a good risk and has filed a claim?b) What is the probability that the customer has filed a claim?c) Given that the customer has filed a claim, what is the probability that the customer is a good risk?
Answer:
a) 0.035 = 3.5% probability that a customer is a good risk and has filed a claim.
b) 0.0395 = 3.95% probability that the customer has filed a claim.
c) 0.8861 = 88.61% probability that the customer is a good risk
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a) What is the probability that the customer is a good risk and has filed a claim?
70% are good risks.
Of those, 0.5% file a claim. So
[tex]0.7*0.05 = 0.035[/tex]
0.035 = 3.5% probability that a customer is a good risk and has filed a claim.
b) What is the probability that the customer has filed a claim?
0.5% of 70%(good risks)
1% of 20%(medium risks)
2.5% of 10%(poor risks). So
[tex]0.05*0.7 + 0.01*0.2 + 0.025*0.1 = 0.0395[/tex]
0.0395 = 3.95% probability that the customer has filed a claim.
c) Given that the customer has filed a claim, what is the probability that the customer is a good risk?
0.0395 = 3.95% probability that the customer has filed a claim means that [tex]P(A) = 0.0395[/tex]
0.035 = 3.5% probability that a customer is a good risk and has filed a claim means that [tex]P(A \cap B) = 0.035[/tex]
Thus
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.035}{0.0395} = 0.8861[/tex]
0.8861 = 88.61% probability that the customer is a good risk
You saved $200 on your new laptop because you bought it online. If this was a 20% savings from the original price, find the original cost of the lapto
Answer:
$1000
Step-by-step explanation:
$200 was saved on a new laptop
This was 20% of the original price of the laptop
Therefote the original cost of the laptop can be calculated as follows
= 20/100x = 200
= 0.2x= 200
Divide both sides by the coefficient of x which is 0.2
x= 200/0.2
= 1000
Hence the original cost of the laptop is $1000
Just Ignore Q5 if you don’t know so plz don’t answer plz give me the answer of Q3 fast fast
Answer:
2x + 4 = 6x
68 = 6x
6 6
11.33
11.3 = x
Angle 3 and angle 8 are corresponding. So we firstly find 2x + 4 which is 6x
Since we are looking for x we divide 68 from 6 which gives u 11.3
please help asap thanks
Answer:
All functions are relations
Step-by-step explanation:
Which of the following is the solution to this system of equations?
-2x + 3y = 18
x = -y + 1
Possible answers
No solution Infinite solution 4,-3 -3,4
Answer:
-3, 4
Step-by-step explanation:
__________________
Will give Brainly plz answer fast
Answer:
sr for messy handwriting
Find the sum of the geometric series if n = 6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 2(1-1/4096)/0.75= 2.67
Pls help me ASAP show work please
Answer:
$3.48 for each pair of socks.
Step-by-step explanation:
It's a little confusing, because it says they're buying 2 socks, but then asks for the price of each of 2 *pairs* of socks. I'm going to believe the first sentence should say they paid for 2 pairs of socks.
They have $10, and get $3.04 in change. So we'll subtract $3.04 from $10 to find out the cost of 2 pairs of socks.
10 - 3.04 = 6.96
Then divide $6.96 by 2 pairs of socks
6.96/2 = $3.48 for each pair of socks.
=
3x-2
6
which of the following is the inverse of f(x)?
2x-3
6
O A. f-'(x) = 2x
O f-
B. F'(x) = 6452
O C. F'(x) = 6*+2
O D. F'(x) = 2***
Answer:
i thi nk correct answer is b so
Write down the general equation of the normal distribution
The following is the plot of the normal percent point function. where \phi is the cumulative distribution function of the standard normal distribution and Φ is the probability density function of the standard normal distribution.
Find the volume. If you have any problems please tell me thank you.
Answer:
Step-by-step explanation:
Formula = V = l x w x h
V = 4.25 x 2.75 x 5
V = 58.438 --> 58.44
Help please!!!!!!!!!!!!!!!
Answer:
-1, 5
Step-by-step explanation:
no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1
Karen has calls has 500 or 900 yards of thick soft wool, she has 200 feet at the strore they have 500 feet of wool. How many balls should she buy
Answer:
Yes.
Step-by-step explanation:
Because yes.
Justin earns $75 per week . How much does he earn in 30 weeks
Answer:
$2,250
Step-by-step explanation:
$75=1 week
$75×30=$2,250
Write an explicit formula for an, the nth term of the sequence 1, 11, 21
Answer:
an = 10n - 9.
Step-by-step explanation:
This is arithmetic with first term a1 = 1 and common difference 10.
an = a1 + d(n-1)
= 1 + 10(n - 1)
= 1 + 10n - 10
= 10n - 9.
which of the following is equivalent to (5-7i)(5-7i)
Answer:
Step-by-step explanation:
Here we are multiplying together two complex numbers which happen to be identical: both are 5 - 7i).
This is also "the square of 5 - 7i: (5 - 7I)^2
In both cases, the result is 25 - 35i - 35i - 49, or 74 - 70i
Please can somebody help me please!
Answer:
h = 12 ft
Step-by-step explanation:
Area of a rectangle formula:
A = bh
Given:
A = 24b
b = 2b
Work:
A = bh
24b = 2b(h)
h = (24b)/(2b)
h = 12
PLS HELP THIS IS A TEST
Which number satisfies the inequality below?
1.75x + 4.50 < 20
a: 13
b: 14
c: 9
d: 7
Answer:
D: 7
Step-by-step explanation:
1.75 (7) + 4.50
12.25 + 4.50
= 16.75
16.75 < 20
Can someone help me with think fast?
Answer:
124
Step-by-step explanation:
A supplementary angle is 180
180-56=124
92.6% of 738 toy robots on an assembly line will be approved by the quality-control inspector. Write and solve a proportion to find how many robots will be approved.
Answer: D. n/738 = 92.6/100 ;683 robots
Explantion: cross multiply 738 x 92.6 then divide by 100