Answer:
$1,129.27
Step-by-step explanation:
Compounded interest formula is
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the principal, [tex]r[/tex] is the anual interest in decimal, [tex]n[/tex] is the numer of compounded periods in one year and [tex]t[/tex] is the time in years.
[tex]P= 800\\r= 0.09\\n= 1\\t= 4[/tex]
So then we plug our numbers...
[tex]A=800(1+\frac{0.09}{1})^{1(4)}=800(1.09)^{4}[/tex]
[tex]A=$1,129.27[/tex]
After 4 years the amount would be $1,129.27
The square root of X+6= X-6
Answer:
x = 10
Step-by-step explanation:
I assume you mean
sqrt(x + 6) = x - 6
let's square the whole equation :
x + 6 = (x - 6)² = x² - 12x + 36
x² - 13x + 30 = 0
the general solution to a quadratic equation is
x = (-b ±sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -13
c = 30
x = (13 ±sqrt(13² - 4×1×30))/(2×1) =
= (13 ±sqrt(169 - 120))/2 = (13 ±sqrt(49))/2 =
= (13 ± 7)/2
x1 = (13 + 7)/2 = 20/2 = 10
x2 = (13 - 7)/2 = 6/2 = 3
for x = 10 we get for the original equation
sqrt(10+6) = 10-6 = 4
sqrt(16) = 4
4 = 4
so, x = 10 is a valid solution.
for x = 3 we get
sqrt(3 + 6) = 3 - 6 = -3
sqrt(9) = -3
3 = -3
so, this (x = 3) counts as an invalid solution, because most teachers nowadays expect the square root symbol operation to deliver only the positive solution.
although a square root is actually representing both : the positive AND the negative solution, because the negative number multiplied by itself is the same result as the positive number multiplied by itself.
so, actually
sqrt(9) = -3
± 3 = -3
is still correct and valid. but not what your teacher expects most likely.
in my younger days only the square root of a negative number counted as invalid operation (in the space of Real numbers, of course), and therefore only a solution leading to a square root of a negative number was an invalid solution.
Two tickets to the movies cost $16. If two drinks add $4.56 to the total, how much change should be received from $25?
Answer:
total cost =$ 16 +$ 4.56=$ 20.56
change received = $25 - $ 20.56 = $4.44 .
Step-by-step explanation:
therefore your answer is 4,44 hope this helps
Please help quickly
AB=AD and BC=DC
x=?
Answer:
x = 110
Step-by-step explanation:
measure of abd is 35, meaning adb is also 35.
so dab + abd + adb is 180
=> x + 35 + 35 = 180
=> x + 70 = 180
=> x = 180-70
=> x = 110
110 degrees is the value of x.
Now assume that you are one of the customers purchasing this popular insurance policy with the company. Considering only
your premiums, deductible, and claims, what is the break-even period after which you could make a $10,000 claim for
property damage without the insurance company suffering a loss? Explain your answer.
The break-even period after which you could make a $10,000 claim for
property damage without the insurance company suffering a loss is 15 months.
What is the break-even point?The break-even point is the point at which total revenue is equal to the total cost.
Taking only this customer's premiums, deductible, and claims into account, the break-even time during which the client might submit a $10,000 claim for property damage without causing the insurance company a loss is 15 months.
The corporation will not generate a profit or a loss during this break-even time. Therefore, the following Data and Calculations can be made,
Monthly insurance premium payable = $600 (assumed to be paid monthly)
Deductible on the insurance policy = $1,000
Minimum coverage = 30/50/10
Coverage for injury or death to one person = $30,000
Coverage for injury or death to two or more people = $50,000
Coverage for damage to property = $10,000
Average accidents every year = 2
Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)
Break-even period = 15($10,000 - $1,000)/$600
This break-even period is calculated by subtracting the deductible from the customer's claim and dividing the result by the monthly insurance cost.
Thus, after a 15-month break-even period, the client might file a $10,000 claim for property damage without the insurance company incurring a loss.
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Answer:
15 months
Step-by-step explanation:
verified with a teacher
Precalculus.
Which one of these a whole number?
55
[tex]\sqrt{3}[/tex]
0.3
[tex]\frac{1}{4}[/tex]
Do answer.
Answer:
55
Step-by-step explanation:
Since whole numbers do not include fractions and decimal values, 55 is the answer
what is the unit price for 4 greeting cards for $10
Answer:
$2.5/card
Explanation:
Unit price is the price for buying one item.
Here given:
total greeting cards: 4total cost: $10Unit price :-
total cost ÷ total units10 ÷ 4$2.5 per cardAll-purpose carpeting costs $27.50 per square meter. What is the cost of carpeting a room from
wall to wall whose dimensions are 360 centimeters × 400 centimeters?
Step-by-step explanation:
I'm not sure if I got the correct answer since English is not my first language
868.4cm² =? m²
Simplify your answer. Type an integer or a decimal
Answer:
0.08684 m²
Step-by-step explanation:
1 m = 100 cm
1 m² = (100 cm)²
1 m² = 10000 cm²
868.4 cm² × (1 m²)/(10000 cm²) = 0.08684 m²
There are two separate, equal-size boxes, and inside each box there are 5 separate small boxes, and inside each of the small boxes there are 3 even smaller boxes. How many boxes are there all together?
Answer:
42
Step-by-step explanation:
2+10+3*10 =42 because there are 2 boxes inside each there are 5 then inside each boxes are 3
5/3 ÷ 1/9
list answer below
Answer:
5
Step-by-step explanation:
just calculated and got it
Answer:
15
Step-by-step explanation:
First, change it to multiplication and flip the second fraction
5/3×9/1
Then you multiply 5×9 and 3×1. This gets you 45/3
45/3 can be simplified down to 15 so the answer is 15
Based on the data in the two-way table, what is the probability that a person consumes 1,500 to 2,000 calories in a day? A. 0.22 B. 0.28 C. 0.35 D. 0.50
Using it's concept, it is found that the probability that a person consumes 1,500 to 2,000 calories in a day is given by:
D. 0.50
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that out of 500 people, 250 consume 1,500 to 2,000 calories in a day, hence the probability is given by:
p = 250/500 = 0.5.
Which means that option D is correct.
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on a piece of paper, graph:
Answer:
every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false
Nina used 2 litres of paint to paint a wall.
The wall was a rectangle 2 metres high and 4 metres wide.
How many litres of paint would she need to paint a rectangular wall which is
2.5 metres high and 8 metres wide?
In Calc, a mathematical equation is called a
A. Calculation
B. Symbol
C. Formula
D. Cell name
C. Formula
Explanation:
In Calc, a mathematical equation is called a Formula.
A survey of 300 farmers in Missouri found that 111 favor the Republican candidate for governor. Construct the 95% confidence interval for the true population proportion of all farmers in Missouri who favor the Republican candidate.
a) 0.280 < p < 0.460
b) 0.324 < p < 0.416
c) 0.368 < p < 0.372
d) 0.315 < p < 0.425
Answer:
b) 0.324 < p < 0.416
Step-by-step explanation:
b) 0.324 < p < 0.416
If a = (0,0) and b= (8,2) what is the length of ab
Step-by-step explanation:
on the coordinate grid you can imagine a right-angled triangle.
the direct distance between the 2 points is the Hypotenuse (the baseline opposite of the 90° angle).
and the x-coordinate difference and the y- coordinate difference of the 2 points are the 2 legs.
we can then use Pythagoras
c² = a² + b²
with c being the Hypotenuse, a and b being the legs.
so,
distance² = (8-0)² + (2-0)² = 64 + 4 = 68
distance (= length ab) = sqrt(68) = sqrt(4×17) = 2×sqrt(17) =
= 8.246211251...
Find the length of the indicated side.
J
3x + 17
K
8x - 8
The length of side KL is
L
Answer:
KL = 32
Step-by-step explanation:
The triangle is equilateral.
JK = KL3x + 17 = 8x - 85x = 25x = 5Finding KL :
KL = 8(5) - 8KL = 40 - 8KL = 32Anyone knows this answer
Answer: radius
Step-by-step explanation:
The radius is the distance halfway across a circle. Since C is the center of the circle and E is along the outside, the answer is;
Radius
A certain car was purchased for $22,500. The car
has a resale value of $14,500 after a useful life of 6
years. What is the annual depreciation expense for
this car?
Annual depreciation expense = $ [?]
Round to the nearest hundredth.
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$14500\\ P=\textit{initial amount}\dotfill &\$22500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6\\ \end{cases}[/tex]
[tex]14500=22500(1 - \frac{r}{100})^{6}\implies \cfrac{14500}{22500}=\left( \cfrac{100-r}{100} \right)^6\implies \cfrac{29}{45}=\left( \cfrac{100-r}{100} \right)^6 \\\\\\ \sqrt[6]{\cfrac{29}{45}}=\cfrac{100-r}{100}\implies 100\sqrt[6]{\cfrac{29}{45}}=100-r \\\\\\ r=100-100\sqrt[6]{\cfrac{29}{45}}\implies r\approx \stackrel{\%}{7.06}[/tex]
help this is confusing
Answer:
Green: (2/11) * (1/10)
Yellow: (2/5) * (1/3)
Purple: (3/10) * (6/19)
Blue: (1/4) * (13/51)
Step-by-step explanation:
Green:
>> Maria has 11 letters in her bag, and 2 of them are B's.
>> At first, the chance of drawing a B is 2 out of 11: 2/11.
>> Let's assume that everything goes according to plan, and she actually draws a B.
>> Then she has 10 letters, and only one of them is B (she already has the other one).
>> That means that the chance of drawing that B is 1 out of 10: 1/10.
>> Thus, (2/11)*(1/10).
Yellow:
>> There are 11 + 13 + 16 = 40 items in the closet.
>> The probability of selecting a prop is 16/40 = 2/5 (there are 16 props and 40 items).
>> That means that there are 40-1=39 items left.
>> Therefore, the probability of selecting a costume is 13/39 = 1/3 (as there are 13 costumes and 39 items).
>> The answer is (2/5) * (1/3).
Purple:
>> There are 6+8+6=20 jellybeans.
>> At first, Hannah grabs an orange candy (there are 6 of them): 6/20 = 3/10.
>> Then there are 19 candies left.
>> Then she grabs a pink one (there are 6 of them): 6/19.
>> The answer is (3/10)*(6/19).
Blue:
>> There are 52 cards in a standard deck, 13 clubs, 13 spades, 13 hearts, 13 diamonds.
>> The 1st is a spade: 13/52 = 1/4.
>> There are 51 cards left.
>> The 2nd is a club: 13/51.
>> (1/4)*(13/51).
A bakery had 953 bags of suger a baker used 32 of these bags to make pies how many bags does the bakery stil have?
Answer: 921 bags
Step-by-step explanation:
We will subtract bags used from the total number of bags.
953 - 32 = 921
The bakery still has 921 bags of sugar.
does the point (3,1) lie on the line y=x-3? (With explanation)
Answer:
well i lands on y and the explaination would be 3+1=y
Step-by-step explanation:
hope this helps
Complete the sentence to describe the triangle shown.
GHI is _____ and _____.
Help (ಥ‿ಥ)
Factor the perfect square trinomial 25x2 - 60x + 36.
A. (5x – 4)(5x-9)
B. (5x-6)2
C. (5x - 3)2
D. (5x - 12)(5x - 3).
Answer: B
Step-by-step explanation:
Screenshot of the question attatched. please help me
There are many rules that apply to operations involving exponents. In this question, we'll need the following:
The division rule⇒ [tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]Solving the QuestionWe're given:
[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)
⇒ Rewrite as a fraction:
[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]
⇒ Use the division rule:
[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]
Therefore, the value of k is 14.
Answerk = 14
the cuboid has dimension 25cm by 10cm by 8cm the volume is
2000cm³.
The volume of any 3d shape is the length x height x width.
This case it is 25 x 10 x 8.
A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use x to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.
Answer:
1. 6.75x or (6.75, 1)
2. buys 9 sandwiches.
Step-by-step explanation:
hope this helps if not let me know have a blessed day
HELPPP!!
Statement:
Some whole numbers are
irrational numbers.
True or False?
Some rational numbers are not whole numbers.
True or False?
Some irrational numbers are not integers.
True or False?
All rational numbers are integers.
Answer:
Step-by-step explanation:
Comment
A rational number is one that can be expressed as x/y. The first statement is false. All whole numbers are rational. They can always be expressed as x/1
Some rational numbers are not whole numbers. That's true. 4/7 is rational but not whole.
Some irrational numbers are not integers. I'm tempted to say this is true.
pi is irrational and it certainly is not an integer.
Answer
false
true
true.
A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.
The area of the triangle with the given base and height where a = 4 and c = 2 is: 608 cm²
What is the Area of a Triangle?Area = 1/2(base)(height).
Given the parameters:
Base length = 2ac² cmHeight = 2ac² + 6 cmIf a = 4 and c = 2, then:
Area = 1/2(base)(height) = 1/2(2ac²)(2ac² + 6)
Area = 1/2(2 × 4 × 2²)(2 × 4 × 2² + 6)
Area = 1/2(32)(38)
Area = 608 cm²
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i need help with it pls
Answer:
Step-by-step explanation:
Step 1: What are the couch's original coordinates?
A: (-4, 2)N: (-4, 3)G: (-1, 3)L: (-1, 4)E: (-5, 4)S: (-5, 2)Step 2: Rotate the couch 90° counterclockwise.
Rule: (x, y) → (-y, x)
A': (-4, 2) → (-2, -4)N': (-4, 3) → (-3, -4)G': (-1, 3) → (-3, -1)L': (-1, 4) → (-4, -1)E': (-5, 4) → (-4, -5)S': (-5, 2) → (-2, -5)Step 3: Now reflect the "new" couch over the y-axis.
Rule: (x, y) → (-x, y)
A'': (-2, -4) → (2, -4)N'': (-3, -4) → (3, -4)G'': (-3, -1) → (3, -1)L'': (-4, -1) → (4, -1)E'': (-4, -5) → (4, -5)S'': (-2, -5) → (2, -5)Step 4: Finally translate the new new" couch right 1 unit and up 5 units.
Rule: (x + 1, y + 5)
A''': (2, -4) → (2 + 1, -4 + 5) → (3, 1)N''': (3, -4) → (3 + 1, -4 + 5) → (4, 1)G''': (3, -1) → (3 + 1, -1 + 5) → (4, 4)L''': (4, -1) → (4 + 1, -1 + 5) → (5, 4)E''': (4, -5) → (4 + 1, -5 + 5) → (5, 0)S''': (2, -5) → (2 + 1, -5 + 5) → (3, 0)Step 5: Use the distance formula to show that the length of EG is the same as the length of E'''G'''.
EG: (-5, 4)(-1, 3) E'''G''': (5, 0)(4, 4)Distance between E(-5, 4) and G(-1, 3)
x₁ = -5x₂ = -1y₁ = 4y₂ = 3[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(-1-(-5))^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{(-1+5)^2+(3-4)^2}$}\\\\\large \textsf {d = $\sqrt{4^2+(-1)^2}$}\\\\\ \large \textsf {d = $\sqrt{16+1}$}\\\\\large \textsf {d = $\sqrt{17}$}\\\\\large \textsf {d = ${4.12}$}[/tex]
Distance between E'''(5, 0) and G'''(4, 4)
x₁ = 5x₂ = 4y₁ = 0y₂ = 4[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf {d = $\sqrt{(4-5)^2+(4-0)^2}$}\\\\\large \textsf {d = $\sqrt{(-1)^2+4^2}$}\\\\\large \textsf {d = $\sqrt{1+16}$}\\\\\ \large \textsf {d = $\sqrt{17}$}\\\\ \large \textsf {d = ${4.12}$}[/tex]
This means that the length of EG is the same as the length of E'''G'''.
Hope this helps!
