Answer:
Step-by-step explanation:
The formula you need for this is
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex]
where A(t) is the final amount after the compounding is done, P is the initial investment, r is the interest rate in decimal form, n is the number of times per year that the money is compounded, and t is the time in years. Filling in accordingly:
[tex]1708=1170(1+\frac{r}{4})^{(4)(6)}[/tex]
First things first. Simplify by division and then multiply the n by the t to get the exponent:
Divide 1708 by 1170 to get the equation:
[tex]1.45982906=(1+\frac{r}{4})^{24}[/tex]
Undo the 24th power by taking the 24th root of both sides to get:
[tex]1.015888202=1+\frac{r}{4}[/tex] Now subtract 1 from both sides to get
[tex].0158882024=\frac{r}{4}[/tex] Multiply both sides by 4 to finish it off and get that
r = .0635528 but since we want the percentage, we move the decimal 2 places to the right and round to r = 6.4% which is choice A.
what does x equal on a quadrilateral if the other angles are 129, 71, and 42
Answer:
The other angle is 118 degrees
Step-by-step explanation:
All quadrilaterals add up to 360 degrees, so if we add 129+71+42 we get 242. Now we take 242 from 360 and get 118. Hope this helped :)
83%
The work in an office takes 150 hours to complete every week.
Each person in the office works for 32 hours a week.
a)
What is the smallest number of people needed to complete the work?
b)
The number of hours each person works is decreased to 30 hours a week.
Does the office still need the same number of people?
Answer 'yes' or 'no'.
Answer:
a) 5
b) yes
a) reason is 5x32 = 160 hour
b) reason is 5x30 = 150 hour
Which of the following side-angle relationships in △ABC are true? Select all that apply.
A. The largest angle is opposite the smallest side.
B. The smallest angle is opposite the largest side.
C. The smallest angle is opposite the smallest side.
D. The largest angle is opposite the largest side.
The true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
What are a triangle's properties?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The properties of a triangle are:
Three sides, three angles, and three vertices make up a triangle.A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.Any two triangle sides can add up to a length that is longer than the third side.The greatest side of a triangle is the side that faces the largest angle.Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.Therefore, the true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
To know more about the properties of the triangle follow
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Fill in the blank by choosing the correct symbol (<, >, or = ): -6 _____ -22 *
Answer:
the answer is ">"
Answer:
>
Step-by-step explanation:
because -6 is bigger than -22
(26 + 3) x (8 ^4) pls help
Answer:
58
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
118784
▹ Step-by-Step Explanation
(26 + 3) * (8⁴)
We are going to follow PEMDAS: Parentheses, Exponents, Division, Addition, Subtraction
First, we will start with parentheses that includes exponents:
(8⁴) = 4,096 (8 * 8 * 8 * 8)
Then, we will work on the other parentheses which involves addition:
(26 + 3) = 29
Therefore,
29 * 4,096 = 118784
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
0.6t I found it on brainly lol
Answer:
Step-by-step explanation:
C. O.6
The difference of negative thirteen and eight multiplied by the square of two.
Answer:
-100
Step-by-step explanation:
(-13-8)2^2
-25*4=-100
4x - 10 = 58
What is the value of x
Answer:
17
Step-by-step explanation:
4x - 10 = 58 add 10 to both sides
4x - 10 + 10 = 58 + 10
4x = 68 divide both sides by 4
x = 17
Answer:
x = 17
Step-by-step explanation:
Given
4x - 10 = 58 ( add 10 to both sides )
4x = 68 ( divide both sides by 4 )
x = 17
A water drip system in a garden uses 2/3 cups of water every 1/6 of an hour. a) How much water is used in 1 hour? b) Use your equation to caculate how much water is used after 24 hours.
Answer:
A) 4 per hour
B) 96 per day
Step-by-step explanation:
A) 2/3 times 6 is 4
B) 4 times 24 is 96
89 divided by 37 with a reminder and answer
Answer:89/37=2 remainder 15
Step-by-step explanation:
Check:
37*2=74
74+15=89
Answer:
2.40.405
Step-by-step explanation:
thats with out a reminder
The weight limit for a bookshelf is 25 pounds. Niyant has 60 books to put on the shelf. Each book weighs 0.45 kilograms. Can Niyant fit all 60 books on the shelf? How many books can she fit on the shelf? (1 kilogram is equivalent to about 2.2 pounds
PLEASE SOLVE
WILL GIVE BRANLIEST
Answer: 90
Step-by-step explanation:
There are 3 girls to every 5 boys. If there are 36 girls, how many boys are there?
Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the park.
adults?
teenagers?
children?
Answer:
Step-by-step explanation:
line up your givens like this:
1, 575 visitors 100%
? adults 56%
? teeenagers 16%
? children. 28%
cross-mulyiply
adults*100 = 1,575*56
teens*100 = 1,575*16
children*100 = 1,575*28
divede each side by 100
adults= 1,575*56/100
teens = 1,575*16/100
children= 1,575*28/100
solve
adults= 882, teens = 252, children= 441
Answer:
adults= 882, teens = 252, children= 441 easy
Step-by-step explanation:
Insert each of the following numbers between two consecutive multiple of 10
Answer:
10 (13) 15
35 (37) 40
45 (48) 50
60 (61) 65
90 (93) 95
Step-by-step explanation:
You are planning a trip to Disney World in Florida. You estimate for week at Disney World, you will need $1,600.00 (This includes Airfare, room and board, daily expenses, and travel). You save for 5 months and your monthly gross salary is $1,675.00. Given that Social Security is 6.2% of your biweekly income, Medicare is 1.45% of your biweekly income, your monthly expenses are $975.23, and you pay State and Federal taxes in the amount of $35.00 and $75.51 respectively biweekly, how much will you have saved up and will you have saved enough to visit Disney World in December? Round all your answers to the nearest cent. a. $1,508.25; no c. $1,753.05; yes b. $1,523.43; no d. $1,788.06; yes
Answer:
c. $1,753.05; yes
Step-by-step explanation:
All calculations below are done on a monthly basis.
Gross salary in 1 month: $1675
Deduct 6.2% from gross salary:
0.062 * $1675 = $103.85
$1675 - $103.85 = $1571.15
Deduct 1.45% from gross salary:
0.0145 * 1675 = $24.29
$1571.15 - $24.29 = $1546.86
Deduct $975.23:
$1546.86 - $975.23 = $571.63
The expenses of $35 and $75.51 are biweekly. Since we are calculating per month, we multiply each of the expenses by 2.
Deduct 2($35) and 2($75.51):
$571.63 - $70 - $151.02 = $350.61
The amount saved per month is $350.61.
In 5 months, the amount saved is 5 * $350.61 = $1753.05
$1753.05 is greater than $1,600.
Answer: c. $1,753.05; yes
The sum of 35 and a certain number divide by 4. the results is equal to double the number. find the number
Answer:
Subtract x and divide by 7 to get:
x=5
So now we know the number is 5.
Step-by-step explanation:
Which statement regarding functions is true?
O Each input results in exactly 1 output.
O Each input results in 2 outputs.
Each input results in between 1 and 5 outputs
Each input results in infinitely many outputs.
Answer: O each input results in exactly 1 output
If you have one input you will have exactly 1 output
Answer:
Each input results in 1 output.
Step-by-step explanation:
Seth sells candles for $14.35 each. Last week, he sold 21 candles. Seth pays $2.40 for materials for every 3 candles. How much did Seth earn last week?
Answer:
$284.55
Step-by-step explanation:
total of sold candles:$14.35 × 21 = $301.35
total for materials : 21÷3 = 7
=7×$2.40
=$16.8
net earn; $301.35-$16.8 =$284.55
Help please, i dont know this :)
Answer:
b, c, a
Step-by-step explanation:
Answer: B, C, A
Step-by-step explanation: you go from the biggest number to the smallest
Are the ratios 1:5 and 3:15 equal?
Answer:
no, 3/15 reduces to 1/3 and 1:3 isn't equal to 1:5
Answer:
yes they are because they are by three
Step-by-step explanation:
help with this slope
Answer:
20,100 I think
Step-by-step explanation:
Answer:
20/10
Step-by-step explanation:
goes up 20
goes to the right 10
i am in middle school
Answer:
nice
Step-by-step explanation:
Answer:
Cool ig. So am I lol. Do you need help with something or no?
Step-by-step explanation:
Sofia wants to buy a new pair of jeans. At Pants World, the jeans she wants cost $40 and they're having a 25% off sale. At All Clothes, the same jeans cost $38 and she has a $6 off coupon. What is the best deal?
1.Purchase at Pants World, because the cost after discount will be $15
2.Purchase at Pants World, because the cost after discount will be $30
3.Purchase at All Clothes, because the cost after coupon will be $32
4.Purchase at All Clothes, because the cost after coupon will be $34
Answer:
number 2
Step-by-step explanation:
Purchase at Pants World, because the cost after the discount will be $30. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The cost of jeans at the Pants world is calculated as,
⇒ $40 - 25% of $40
⇒ $40 - 0.25 x $40
⇒ $40 - $10
⇒ $30
The cost of jeans at All Clothes is calculated as,
⇒ $38 - $6
⇒ $32
Purchase at Pants World, because the cost after the discount will be $30. Then the correct option is B.
More about the Algebra link is given below.
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this is easy but my brain is not working
Answer:
Y=10
Step-by-step explanation:
help me plssssssssssss
Q3. Elisa got $120 for her birthday. She wants to buy the new apple airpods
that cost $250. If she saves an additional $10 per month, how many months
would it take for her to have enough? Let m equal the number of months
needed to save. *
250 + 120 = 10m
250 + 10m = 120
120 + 10m = 250
10m = 250
Please help it's for an assessment !
Answer:
13m
Step-by-step explanation:
this is because she needs 130
Answer:
13 months
Step-by-step explanation:
subtract 120 from 250 because that is how much she already has and then divide that answer by ten which will give you the number of months
The point (-4, 1) is rotated 180 degrees counterclockwise using center (-3, 0). What are the coordinates of the image?
Answer: Coordinates of the image are (-2 , -1)
Step-by-step explanation:
The rule for 180° rotation counterclockwise is:
(x , y) ⇒ (-x , -y)
This means that to get the coordinates of a point rotated 180° counterclockwise, all you have to do is flip the signs of both the x and the y
Now, we are given the point (-4 , 1)
Applying the above rule:
[tex]( x image, y image) = (-(-4),-(1))[/tex]
[tex](x image, y image) =(-2, -1)[/tex]
Solve the equation | x + 2 | = | x - 6 |. Graph the solutions if possible
do you know how to bake a muffan
Answer:
yea by using a resipe
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
you need eggs, butter, flour, sugar, salt, oil (i prefer olive oil) and baking powder.
fruit if you like them in your sweets.
this makes 12 muffins
2 cups flour
3 tsps baking powder
1/2 tsp salt
3/4 cup sugar
1 egg
1 cup milk
1/4 cup oil
preheat oven. i usually do 350 F, increase the temperature if youd like them to cook faster but keep in mind youll need to check on them often with increased heat.
stir together your dry ingridents and in a seperate bowl beat your egg with a fork. stir in the milk and oil with the egg.
pour into your dry ingriedeints until everything is well mixed.
bake until golden
if you like fruit id suggest blueberries, 1 cup
Daniella will go to school five times next week. Find the probability that Daniella will be late more than once.
p = 5/6
Answer:
1/34
Step-by-step explanation:
its and propity of 1/4 time the value it self plus what you take