Answer: D
Step-by-step explanation:
Tatiana is playing a video game. She earns 25 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
How many points will Tatiana earn when she completes Level 7?
Answer:
18,225
Step-by-step explanation:
L1=25
L2=75
L3=225
the pattern is (25)* 3^(n-1)
L1=3^0*25 = 25
L2=3^1*25 = 3* 25 = 75
L3=3^2*25 = 9* 25 = 225
.
.
L7=3^6*25 = 729* 25 = 18,225
Karl is purchasing a $205,000 home with a 30-year mortgage at 5.5%. Because he is not making a down payment, PMI in the amount of $97.50/month is required for the first 2 years of the loan. Based on this information, what is the total cost of this loan? A. $421,369.20 B. $444,923.03 C. $423,042.96 D.$452,092.10
The total loan payment is $1,024,050.
What is Mortgage Loan?Another name for mortgage loans is "loans against property." A mortgage loan can be used to refinance real estate or to buy, build, or remodel a home. Getting a new loan for a piece of property while the old one is still being paid off is referred to as refinancing. Typically, it is done to obtain a loan with better terms.
We have,
The 30-year mortgage loan of $205,000 at 5.5% interest rate
We know, the total cost of this loan can be calculated as
L=LM+PMI
So, LM=$205,000 x (1+0.055[tex])^{30[/tex]
LM=$205,000 x 4.984
LM = $1,021,710
Now, the PMI over 24 months
= $97.5 x 24
= $2,340
So, the total loan payment is:
= $1,021,710 + $2,340
= $1,024,050
Learn more about mortgage loan here:
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Una alberca, tiene las siguientes dimensiones: 15 metros de largo, 4 metros de ancho y una profundidad de 1.8 metros. Si se desea que solo se llene a un 95% de su capacidad y para eso se abre una llave la cual deposita 90 litros de agua en tan solo 1 minuto. ¿En Cuánto tiempo estará lista la alberca? *
Answer:
please transalate
porfavor transalate
Step-by-step explanation:
If the 12th term of the arithmetic sequence is 15 and the 11th term is 10, find the common difference of the sequence.
Answer:
12? 10 + d = 15 so d = 5.
Step-by-step explanation:
Answer:
d = 5
Step-by-step explanation:
The common difference d is the difference between consecutive terms, then
d = a₁₂ - a₁₁ = 15 - 10 = 5
https://imgur.com/a/p0QjLGl
Answer: what’s the link about ?
From the figure, We can notice that Sum of the angles (∠AKC and ∠AKE) should be equal to 180°
Because ∠AKC and ∠AKE make a Linear Pair
⇒ ∠AKC + ∠AKE = 180°
⇒ 5x + 12x + 27 = 180
⇒ 17x = 180 - 27
⇒ 17x = 153
⇒ x = 9°
⇒ ∠AKE = 12(9) + 27 = (108 + 27) = 135°
Answer : ∠AKE = 135°
Find c Round to the nearest tenth 27 201 28 c=?cm
Answer:
[tex]56.3[/tex]
Step-by-step explanation:
The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).
Thus, we have:
[tex]\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}[/tex]
Y’all help meeee imma fail fr!!.!.
Answer:
Altitude of cylinder = 10 cm
Step-by-step explanation:
Given:
lateral surface area of cylinder = 90 cm²
Circumference of base = 9 cm
Find:
Altitude of cylinder
Computation:
Circumference of base = Circumference of cylinder
So,
2πr = 9
lateral surface area of cylinder = 2πrh
2πrh = 90
We know that; 2πr = 9
So,
9(h) = 90
h = 90 / 9
Altitude of cylinder = 10 cm
A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At
the end of the 4 years, the total amount receives is $50 650. Find the sum of money deposited.
Answer:
The sum of money deposited is approximately $22,021.74
Step-by-step explanation:
The given interest and amounts of the deposit are outlined as follows;
The simple interest per annum, R = 0.325%
The number of years the money is deposited, T = 4 years
The total amount received (Interest + Initial deposit), A = $50,650
We have;
I = P × R × T
Where;
P = The principal (initial amount deposited)
R = The (annual) interest rate = 0.325%
T = The time = 4 years
Therefore;
The total amount received, A = P + I
P + I = P + P × R × T = P × (1 + R × T)
∴ A = P + I = P × (1 + R × T)
P = A/(1 + R × T)
Plugging in the values, gives;
P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74
The sum of money deposited, P = $22,021.74
Someone help me with this please
Answer:
-1
Step-by-step explanation:
use a calculator and u will get this answer:)
Use the completing the square method to transform the equation x2 + 2x = 13 into an equation of the form (x + a)2 = b, where ɑ and b are real numbers What are the values of ɑ and b?
Answer:
(x+1)² = 14
a = 1, b = 14
Step-by-step explanation:
Given the equation, x² + 2x = 13
We are to use the completing the square method to express in the form
(x + a)² = b
x² + 2x = 13
Add the square of half of the coefficient of x to both sides
Coefficient of x = 2
Half of the coefficient of x = 2/2
Square of the result = (2/2)²
Square of the result = 1²
Add (1/2)² to both sides
x² + 2x + (1)² = 13 + (1)²
(x+1)² = 13 + 1
(x+1)² = 14
Compare with (x+a)² = b
a = 1 and b = 14
X X 7
What is the solution to the equation 3+ 6 = ?
3
OX= 2
7
OX=3
O x= 3
O x=7
Answer:
x=7
Step-by-step explanation:
x/3 + x/6 = 7/2
Multiply each side by 6 to clear the fractions
6(x/3 + x/6) = 7/2 *6
Distribute
2x +x = 21
Combine like terms
3x = 21
Divide by 3
3x/3 = 21/3
x = 7
Answer:
x = 7
Step-by-step explanation:
Given
[tex]\frac{x}{3}[/tex] + [tex]\frac{x}{6}[/tex] = [tex]\frac{7}{2}[/tex] ( multiply through by 6, the LCM of 3,6, 2 to clear the fractions )
2x + x = 21
3x = 21 ( divide both sides by 3 )
x = 7
x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.
Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
The required value of the x in the given inequality is x < 4.5.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given expression,
15x - 43 < 5x + 2
Adding 43 on both sides,
15x < 5x + 45
Subtract 5x from both sides,
10x < 45
Divide the inequality by 10
x < 4.5
Thus, the required value of the x in the given inequality is x < 4.5.
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In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree.
Answer:
There is no possible value for P
Step-by-step explanation:
In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree
We solve using the law of sines
p/sin P = r/sin R
7.6/sin P = 3.5/sin 160
Cross Multiply
sin P × 3.5 = 7.6 × sin 160
sin P = 7.6 × sin 160/3.5
P = arc sin (7.6 × sin 160/3.5)
There is no possible value for P
Give the inequality -8<2 explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by negative 2
Answer:
If we multiply both the sides by 2, the inequality signs remains the same.
If we divide both sides by -2, the sign changes.
Step-by-step explanation:
The given inequality is
-8<2
If we multiply both the sides by 2, we get
-8 * 2 < 2*2
-16 < 4
The inequality signs remains the same.
On the other hand if we divide both sides by -2, we get -
-8/-2 < 2/-2
4 > -1
Here the sign changes.
Pls I need help with thia
Answer:
6
Step-by-step explanation:
Use Pythagorean Theorem to solve for the missing side:
[tex]a^2+b^2=c^2\\a^2+(7)^2=(\sqrt{85})^2\\a^2+49=85\\a^2=36\\\sqrt{a^2} =\sqrt{36}\\a=6[/tex]
Please help if you can!
Answer:
D: 78 ft2
Step-by-step explanation:
6x13=78
Answer:
Rectangle
Result
Area = l × w
= 13 × 6
= 78 feet2
Step-by-step explanation:
#Brainliestbunch
Help?,?,?,?.!.??.?.?.?.?.?.
Answer:
Step-by-step explanation:
b(a + 1) + a = b*a + b + a = ab + b + a
1) b(2a +1 ) = b*2a + b*1 = 2ab + b Not equivalent.
2)a + (a +1)*b = a + ab+ b Equivalent
3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a Not equivalent.
4) (a + 1)b + a = ab+ b + a Equivalent
5) a + b(a+1) = a +ab + b Equivalent
6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b Not equivalent.
7) a(b +1) + b = ab + a + b Equivalent
i dont really understand this. ranking brainliest !
Answer:
98
Step-by-step explanation:
because this is an isosceles triangle so base angle are equal and triangle add up to 180°. so H will be 41 as well to find out F
do 180-41-41=98 is the answer.
hope this helps :)
what is the vertices of hexagon
Answer:
A Hexagon has 6 sides so 6 Vertices
Zikri wins a cash prize of one million ringgit. She invests the money into an investment institution that offer
a return of 6% per year. The total amount of Zikris investment after n years is calculated by using the formula
J = P(1 + k)" with p is the initial investment and k is the rate of return per year. Find Zikris total investment
after 15 years.
Answer: 2,396,558 Ringgit
Step-by-step explanation:
J = P * ( 1 + k)^n
P = initial investment of 1,000,000 Ringgit
k = rate of return of 6% per annum
n = Number of years of investment
J = 1,000,000 * ( 1 + 6%)¹⁵
= 1,000,000 * 2.396558193
= 2,396,558 Ringgit
Write an equation of the line that goes through the point (0,5) and has a slope of 4.
The Equation of the line can be represented as :
[tex] \longrightarrow \: y = mx + b[/tex]
where, m is slope of the line.
now, let's solve for b , by plugging the values of "x" , "y" and "m"
[tex] \longrightarrow \: 5 = (4 \times 0) + b[/tex]
[tex] \longrightarrow \: b = 5[/tex]
Therefore, the equation of above line is
[tex] \large \boxed{ \mathrm{y = 4x + 5}}[/tex]
[tex] { \orange{ \mathfrak{ \underline{hope \: \: it \: \: helps \: \: you.....}}}}[/tex]
1. Find the value of x
A. 7
B. 4
C. 5
D. 6
In 6 seconds, a total of 3 waves crash into a cliff. The distance between 2 adjacent wave crests on the water is 8 meters.
Answer:
Wavelength = 16 m
Step-by-step explanation:
Given that,
In 6 seconds, a total of 3 waves crash into a cliff.
The distance between 2 adjacent wave crests on the water is 8 meters.
We need to find the wavelength of the wave.
We know that, the distance between two consecutive wave is called wavelength of a wave.
We can understand that, total of 3 wave crests, the distance between first and second wave crest is 8 meters.
Hence, the wavelength is 8 m + 8 m = 16 m
As an estimation we are told £3 is €4.
Convert £33 to euros.
Answer:
44 euros
Step-by-step explanation:
if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,
3/4 = (3/4)(11/11)
so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros
I need help please!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Liz earnings per hour = $ 9.28
Liz earnings for 5.5 hours = 9.28 * 5.5
= $ 51.04
Mira looks at her fitness monitor and sees that she has run 30% of her miles this
week. If her goal is to run 30 miles this week, how many miles has she run
already? (Provide number only)
Answer:
9
Step-by-step explanation:
Simply multiply 30 by .3.
Hope that this helps!
Find the missing side. Round to the nearest tenth. X=?
Answer:
x = 12.2
Step-by-step explanation:
to solve for 'x', we can use the sine ratio of opposite/hypotenuse
we need to find the angle opposite side 'x', which can be found by:
180-(44+90) = 46
sin46° = x/17
x = 17·sin46°
x = 12.2
Solve for x and show your work
Answer:
x = -5
Step-by-step explanation:
50 = x+55
50 - 55 = x
-5 = x
PLEASE HELP i have less than 20 mins left
3a) Answer: 84 degrees
Step-by-step explanation:
3x + 2(x+20)= 180 (total sum of angles in a triangle is 180 degrees)
5x+40 = 180
5x = 140
x= 28
3x= 28 x 3
= 84
At Shimla, the temperature was -14°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Shimla on Tuesday?
Answer:
-14-2= -16
I hope it helps :)