Answer:
$13,537.79
Step-by-step explanation:
The future value of the account after 5 years will be 762 dollars.
What is compound interest ?Compound interest is calculated for the principle borrowed as well as previous interest accumulated.
According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.
Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.
We know the formula for Amount(A) compounded quarterly is
A = P[ 1 + (r/4)/100)]⁴ⁿ.
A = 600[ 1 + (5/4)/100]⁴ⁿ.
A = 600[ 1 + 1.2/100]⁴ˣ⁵
A = 600[ 1 + 0.012]²⁰.
A = 600[ 1.012]²⁰.
A = 600(1.27).
A = 762 dollars.
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4) Find the value of k if (-2)k × (-2)3 = (-2)7
Answer:
k = 4
Step-by-step explanation:
(-2)k+1 × (-2)3 = (-2)7
-2k + -6 = -14
- 2k = -14 + 6
- 2k = - 8
k = -8 / -2
k = 4
HOPE IT HELPS ...
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Select the correct answer.
Pat and Quentin collect trading cards. They each began the year with cards already in their collection and buy more cards every month.
The number of cards in Pat’s collection, x months after the start of the year, is modeled by function p:
p(x) = 34 + 16x.
The number of cards in Quentin’s collection, x months after the start of the year, is modeled by function q:
q(x) = 28 + 12x.
Which function correctly represents how many more cards Pat has in her collection than Quentin has in his collection, x months after the start of the year?
A.
(p − q)(x) = 62 + 4x
B.
(p − q)(x) = 6 + 4x
C.
(p − q)(x) = 6 + 28x
D.
(p − q)(x) = 62 + 28x
The expression that represents how many more cards Pat has in her collection than Quentin has in his collection is B. (p − q)(x) = 6 + 4x
What is a expression?An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Pat's collection is represented as p(x) = 34 + 16x.
Quentin's collection is represented as q(x) = 28 + 12x.
The difference will now be:
= 34 + 16x - (28 + 12x)
= 34 + 16x - 28 - 12x
= 6 + 4x
Therefore, the correct option is B.
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Lola had $235.00 in her savings account. Three months later, Lola had
$136.30 in her account. What was the percent decrease of Lola's savings
account?
Answer: decreased by 42%
Step-by-step explanation:
An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the
plane is 704 m above the water, how many kilometers is it from a point 704 m
directly above the atoll?
1) 807.85 km
2) 5733.62 km
3) 5.73 km
4) 86.44 km
Hi I’m a tutor ask me if you need help
Answer:
are you realy a tutor?
Step-by-step explanation:
Find the 30th term of the following sequence. 1, 7, 13, 19, ...
Answer:
175
Step-by-step explanation:
a30 = a1 + f × (n-1)
f= difference between numbers
Please please give the answer fast
Answer:
169
Step-by-step explanation:
27 + 22 + 98 + 22 = 169
Gretchen measured the length of her toaster, to the nearest half inch to be 9 inches. Steve measured the toaster to the nearest quarter inch and found it measured 9 1/4 inches. Who used a more precise measurement?
4/9 ÷ 8/15
:-):-):-)
0.83333333333
:) have a good day
Answer:
4/9 x 15/8 = 5/6
Step-by-step explanation:
Make 8/15 a reciprocal (basically just means to turn the fraction upside down).
Then turn the division sign into a multiplication sign and multiply across, and there you have it!
What is the equivalent radian measure of 600?
Answer:
[tex] = \frac{ \theta}{180} \times \pi \\ = \frac{600}{180} \times \pi \\ = \frac{10}{3} \pi[/tex]
Data show that men who are married, and also divorced or widowed men, earn quite a bit more than men the same age who have never been married. This does not mean that a man can raise his income by getting married because men who have never been married are different from married men in many ways other than marital status. Suggest one possible lurking variable that might help explain the association between marital status and income.
Choose the most plausible suggestion from the choices.
A. Men who are married, widowed, or divorced are usually more committed both in their personal and professional lives, enabling them to succeed in their careers.
B. Married, widowed, or divorced men have high income jobs. A high income job tends to make an individual more dedicated. This dedication leads a man to get married.
C. High income leads to greater commitment, which leads to marriage. Thus, we see that high income should actually be associated with men who have never been married.
D. Married, widowed, or divorced men tend to be more committed as well as men with high income jobs. From this, we may safely conclude that getting married leads to a high income job.
Answer:
B. Married, widowed, or divorced men have high income jobs. A high income job tends to make an individual more dedicated. This dedication leads a man to get married.
Step-by-step explanation:
A lurking variable is one that is not measured in the given study but it will affect the relationship between the explanatory and response variables.
Now, in this case, we see that divorced or widowed men, are said to earn quite a little more than men that are of the same age who have never been married.
Now, we are told it does not imply that a man can raise his income by getting married.
This means that majority who have high income tend to consider getting married.
Thus, we can infer that having a high income job leads to a man being more dedicated and this leads him to getting married.
What is the probability that a randomly chosen student is a boy that prefers comedy movies?
I NEED HELPPO ASAP
Answer:
12/35
Step-by-step explanation:
i don’t know the decimal but you can figure that out quickly
Question 11
A card game is being played and the 5 of spades and 10 of clubs are drawn. In order to win the
hand, the next card must be higher than the highest card already on the table. Assuming the
game is played with a single deck, what is the chance that the next card drawn will win the
hand? (An ace has a value of 1.)
A.3%
B.12%
I
C.24%
D.25%
Answer:
24%
Step-by-step explanation:
trust me and get blessed
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
There are 50 cards left in the deck after the 5 of spades and 10 of clubs are drawn since there are 4 suits with 13 cards each, and 2 of those cards have already been drawn.
Out of the remaining 50 cards, there are 16 cards that could win the hand: the 9 remaining cards higher than the 10 of clubs in any suit, and the 6 remaining cards in the spade suit (since the 5 of spades is already on the table).
Therefore, the probability of drawing a card that could win the hand is 16/50, which simplifies to 8/25. This is approximately 0.32 or 32%.
However, we need to subtract the probability of drawing the 5 of clubs, 10 of spades, or any of the 8 remaining cards that would not win the hand.
The probability of drawing one of these cards is 10/50, which simplifies to 1/5 or 20%.
The probability of drawing a card that could win the hand and actually winning the hand is:
(16/50) x (1/5)
= 0.32 - 0.2
= 0.12 or 12%.
Thus,
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
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What is the area of the figure in the picture plsssss i neeed it rn tysmm
Answer:
141
Step-by-step explanation:
When Jaylen started high school, 1,430 students attended his school. On the day of his graduation, only 1,001 students attended his school.
it is 8:00 p.m. in canberra australia what time it is in philippines?
Answer:
6:00 P.M.
Step-by-step explanation:
Solve for n: 8n = 56
n=1/7
n = 7
n = 48
n = 64
n= 448
Answer:
The answer is number 7
Step-by-step explanation:
56÷8=7
n= 7
Raid this zoom ASAP
ID:756 537 0556
PASS: fP8TRU
Answer:
uhm ok-?
Step-by-step explanation:
Step-by-step explanation:
no not interested
1. The drama club sells 200 pounds of fruit to raise money. The fruit is sold in
5-pound bags and 10-pound bags,
a. Write an equation to find the number of
each type of bag that the club should sell
.
I got the wrong answer. I don't want to keep this up just in case anyone needs the answer to this question again. But I can't delete my answer so I'll just leave this. Have a nice day tho. Sorry about that :(
A triangle has height 4ft and an area 64ft square What is the length of its base?
Answer:the answer is 60
Step-by-step explanation:
The question is “what is the length” so what I think we are supposed to do is to add since the height is 4 and the area is 64 so the length has to be 6
Hope I helped
what percent of the population has an IQ score between 115 and 130?
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
39kg 756g + 52kg 670g
Answer:
1517g or 1.517kg
Step-by-step explanation:
HELP jimthompson5910
Answer:
2 pounds= $3.00
5 pounds= $7.50
8 pounds= $12.00
Some values of the linear function f are given in the table shown. What is the value of f(100)?
Answer:
f(100) = 160.
Step-by-step explanation:
Linear function:
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much f(x) changes when x changes by 1) and b is the y-intercept(value of f(x) when x = 0).
Finding the slope:
Suppose we have two points. The slope is the change in the output divided by the change in the input.
In this question, we have points (45,50) and (60,80).
Change in the output: 80 - 50 = 30
Change in the slope: 60 - 45 = 15
Slope: 30/15 = 2
So
[tex]y = 2x + b[/tex]
Point (45,50)
This means that when [tex]x = 45, y = 50[/tex]. We use this to find the value of b.
[tex]y = 2x + b[/tex]
[tex]50 = 2(45) + b[/tex]
[tex]b = -40[/tex]
So
[tex]y = 2x - 40[/tex]
With y = f(x)
What is the value of f(100)?
This is y when x = 100. So
[tex]f(100) = 2(100) - 40 = 200 - 40 = 160[/tex]
f(100) = 160.
Solve for x.
8x + 13
12x +7>>
Answer:
Solution given:
8x+13+12x+7=180°[exterior angle's sum is supplementary]
20x=180°-20
x=160°/20°
x=8° is your answer.
You download a video game on your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the game and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free write an inequality that describes the number of levels, l, you can play in 60 minutes
for me i think and calculated 9 levels
I NEED this answered right NOW please!!!!
Answer:
id k the answer options so i can t answer it
Step-by-step explanation:
Name ____________________________ Class________ Date ____________________________ Directions: Each diagram is formed by two parallel lines and a transversal. Find the value of . Use your answers to navigate through the maze. SHOW ALL STEPS! Show your work
Step-by-step explanation:
How are we supposed to help...?
HELP IM STRUGGLING I DONT WANNA FAIL THIS SCHOOL YEAR
Answer:
507 cubic m
Step-by-step explanation:
V = l · w · h
V = 13 × 13 × 3
V = 507
Help me please quick
Answer:
[tex]slope = \frac{rise}{run} [/tex]
The slope is 3
Yep thts your answer