Answer:
$169803
Step-by-step explanation:
Given data
rate of decrease = 5.4%
time = 2009-2021= 12years
P= $331,000
Let us apply the compound interest formula
A=P(1-r)^t----------------note the minus sign because this is a decrease
A= 331000(1-0.054)^12
A= 331000(0.946)^12
A= 331000*0.513
A=$169803
Hence the value in 2021 is $169803
WILL GIVE BRAINIEST!!!!!
Answer:
x=2
Step-by-step explanation:
If a fair die is rolled 7 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 twos?
Answer:
0.904
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.905 = 90.5% probability of getting at most 2 twos.
For each time the die is rolled, there are only two possible outcomes, either the result is a 2, or it is not. The result on a roll is independent of any other roll, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
The die is rolled 7 times, hence [tex]n = 7[/tex].One out of the 6 sides is a 2, hence [tex]p = \frac{1}{6} = 0.1667[/tex]The probability is:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.1667)^{0}.(0.8333)^{7} = 0.279[/tex]
[tex]P(X = 1) = C_{7,1}.(0.1667)^{1}.(0.8333)^{6} = 0.391[/tex]
[tex]P(X = 2) = C_{7,2}.(0.1667)^{2}.(0.8333)^{5} = 0.235[/tex]
Then:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.279 + 0.391 + 0.235 = 0.905[/tex]
0.905 = 90.5% probability of getting at most 2 twos.
A similar problem is given at https://brainly.com/question/24863377
Clara and Ben each have a rock collection. • The number of rocks in Clara's collection can be represented by, • The number of rocks in Ben's collection is 4 times the number of rocks in Clara's collection. • The total number of rocks in both collections is 225. What is x, the number of rocks in Clara's collection?
Answer:
ASD
Step-by-step explanation:
PLZZZ HELP!! 22 pts!!!
Given P(A)=0.5P, (A)=0.5, P(B)=0.24, P(B)=0.24, and P(A and B)=0.2, find the value of P(A or B), rounding to the nearest thousandth, if necessary.
Work Shown:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.5 + 0.24 - 0.2
P(A or B) = 0.54
Provide an exact evaluation of the expression:
-1/2 is the answer hope it's correct
just answer number 5 pls
Step-by-step explanation:
hope that helps . the process is shown in the above picture.
An angle measures 2° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
182
Step-by-step explanation:
is what that is plus 2
You invest $125,000 in an account that earns 4.75% annual
interest, compounded continuously.
a. What is the value of the account after 15 years?
Step-by-step explanation:
step 1. let's call the amount of money A, the initial amount A¡, the rate r, and the time t.
step 2. A = A¡e^(rt) (continuously compounding equation)
step 3. A = 125000e^((.0475)(15))
step 4. A = $254,885.32
The value of the account after 15 years will be $254885.
In theory, continuously compounded interest means that an account balance is constantly earning interest and reinvesting that interest so that it, too, earns interest.p explanation.
In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor.
Given that you invest $125,000 in an account that earns 4.75% annually for 15 years of the time.
The compound interest will be calculated as:-
[tex]P(t) = P_o\times e^{rt}\\P(t) = 1250000\times e^{0.0475\times 15}[/tex]
P(t) = $254885
Hence, the value of the account after 15 years will be $254885.
To know more about compound interest follow
https://brainly.com/question/28020457
#SPJ5
Which expressions are equivalent?
I like your cut G!
Answer:
b
Step-by-step explanation:
Mrs. Jones had 1 3/8 pizzas left after a party. After giving some to Gary, she had 6/8 pizza left. What fraction of a pizza did she give Gary?
Answer:
She gave 5/8 to Gary.
Step-by-step explanation:
1 3/8 as an improper fraction is 11/8. 11/8 - 6/8 is 5/8.
Answer:
5/8
Step-by-step explanation:
Turn a mixed number to an improper fraction: 1 3/8=11/8
Subtract: 11/8-6/8=5/8
5/8
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/afternoon/night!!!
HELP! I need to divide 31.35 / m squared.
Answer:
it doesn't change
Step-by-step explanation:
how to expand and simplify 3(m + 2) + 4(6 + m)
Answer:
7m+30
Step-by-step explanation:
what is the solution or -3y+1≥7
the answer is
[tex]y \leqslant - 2[/tex]
Gary needs 6 bolts for a car repair. The bolts only come in packs of 10.
What percentage of bolts will Gary use in the pack?
Answer: 60%
Step-by-step explanation:
10 percent is 1 bolt so therefore 6 bolts would make 60%
Which expression is equivalent to −34x−2
you need 3 sticks of butter for every 24 cookies you bake how many sticks of butter do you need for 16 cookies
Answer: 2
Step-by-step explanation:
24 divided by 3 is 8 so 1 stick of butter makes 8 cookies so 2 sticks of butter make 16 cookies(2 x 8)
Answer:
2 sticks of butter
Step-by-step explanation:
First, let's figure out how many cookies you can make with one stick of butter. So, we can divide 3 by 3 and 24 by 3...
[tex]\frac{3}{3} = 1\[/tex]
[tex]\frac{24}{3} = 8[/tex]
Now that we know that 1 stick of butter makes 8 cookies, we can multiply the amount of cookies till it becomes 16...
8×? = 16
We could rewrite this equation as division...
16÷8 = 2 sticks of butter
Now we know that we need 2 sticks of butter for 16 cookies...
Hope this Helps!!!
The circumference C of a circle with radius r can be calculated using the formula C=2nr which formula represents r in terms of C?
Answer:
r=C/2Pi
Step-by-step explanation:
C=2(Pi)r
r=C/2Pi
Which of these sets of ordered pairs are functions?
R={(0, 0), (1, 1), (2, 2)}
S={(0, 1), (1, 2), (2, 3)}
T={(0, 1), (0, 2), (0, 3)}
A. only set S
B. only sets R and S
C. only sets S and T
D. sets R, S, and T
what is the square root of 72/25x4
Answer:
1.35764501988
Step-by-step explanation:
A small radio station can broadcast a distance of 16 miles in all directions. A broadcast from the radio station can reach a total area of-?
Answer:
Step-by-step explanation:n1g4 a 103837 miles
What is (0.3)⋅(0.5)?
Answer:
0.15
Step-by-step explanation:
The product of 3 and a number equals the sum of 16 and a number.
Answer:
The numbers can be either -8,-7,-6, or 6, 7, 8.
n(n−1)(n+1)=16(n−1+n+n+1)
⟹n(n2−1)=16×3n
⟹n(n2−1)n=48nn
⟹(n2−1)−48=48−48
⟹n2−49=0
⟶(n−7)(n+7)=0
n can be 7 or −7 , so the numbers can be either −8,−7,−6
Or
6,7,8
Step-by-step explanation:
I need massive help!!!!!!!!!
Answer:
60%
Step-by-step explanation:
Write 0.6 as 0.60, which is 60 hundredths. 60 hundredths is 60 percent. You can also move the decimal point two places to the right to find the percent equivalent.
20POINTS HELP PLEASE!!!!!!!!!
please help me will give brainliest
Answer:
x= 24/7 (fraction) brainliest plss :)
Answer:
The Answer is x= 24/7
Step-by-step explanation:
The reason why
Which event below has the GREATEST probability of winning a prize?
A. choosing 1 number out of a on the spinner.
B. Flip a heads on a coin
C. Rolling a 2 on a FNC (Fair Number Cube) on the 1st roll.
D. Choosing the ball beneath the correct cup.
Answer:
Probably B.
Step-by-step explanation:
It's a 50% chance and the other ones seem less likely than that.
A. no clue what that means
B. 1/2 chance/ 50%
C. 1/6 chance which is not as great as B.
D. 1/3 chance which is closer to B but still not as good.
Pretty Please answer this!
Analyze the following image and state
Line of Symmetry
Coordinates of the Vertex, X - intercepts, Y - Intercepts.
Whether the graph is positive or negative.
Answer:
The x-intercept is where the graph crosses the x-axis, so in this case, the x-intercepts are (-4, 0) and (-2, 0).
The y-intercept is where the graph crosses the y-axis, so in this case, the y-intercept is (0,8).
The line of symmetry splits the graph in two equal halves, and it is x=-3.
Finally, because this graph opens up, the graph is positive.
Let me know if this helps!
Kate went to the store and bought some pants for $22 and 4 shirts. She spent a total of $52. How much did each shirt cost? Write an equation to represent this situation.
Answer:
$7.5
$22 + 4x = 52
Step-by-step explanation:
Given that:
Cost of pants = $22
Number of shirts = 4
Total spent = $52
Let the cost per shirt = x
Cost of pants + cost of shirts = total
$22 + 4x = 52
4x = 52 - 22
4x = 30
x = 30 / 4
x = 7.5
Cost per shirt = $7.5
what non-metal cannot form multiple bonds
Answer:A given nonmetal atom can form a single, double, or triple bond with another nonmetal. Which type of bond is formed between the atoms depends on their numbers of valence electrons.
Step-by-step explanation:
Answer:
A nonmetal atom can form either a single double or triple bond with another nonmetal. The type of bond that is formed between the atoms depends on their numbers of valence electrons.
Step-by-step explanation:
How many sides does a polygon have if each interior angle is 150 degrees?
