Answer:
The money was invested at an interest of 14.28% per year.
Step-by-step explanation:
To determine at what percent rate of compound interest per year will the compound interest on $ 343000 be $ 169000 in 3 years, the following calculation must be performed:
343,000 x (1 + X / 1) ^ 3x1 = 343000 + 169000
343,000 x 1 + X ^ 3 = 512,000
1 + X ^ 3 = 512,000 / 343,000
1 + X ^ 3 = 1.4927
1 + 0.14286 ^ 3 = 1.4927
1.4927 = 1.4927
X = 0.14286 x 100 = 14.28%
Therefore, the money was invested at an interest of 14.28% per year.
What is the value of m in the equation {m-án=16, when n = 8?
A 20
B 32
C 44
D 48
Answer:
32
Step-by-step explanation:
m-án=16, when n = 8
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 40%. Find the selling price.
Answer:
40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28
Step-by-step explanation:
multiple the price by 1.40
hopefully this helped :)
Answer:
$28
Step-by-step explanation:
We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.
40/100 = 0.4.
Next, we multiply 20 by 0.4 to find the extra price:
20 * 0.4 = 8
So, the answer is 20 + 8 = $28
We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28
Hope this answer helps you :)
Have a great day
Mark brainliest
Help plsss 10 points
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Answer:
A. 7 + 4i
Step-by-step explanation:
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Writing as a complex number, we find the square root of -16 + 49
Hence:
√ -16 + 49 = √-16 + √49
= 4i + 7
Rearranging
= 7 + 4i
Therefore, the correct option is A. 7 + 4i
statement of pythagoras theorm no need proof only statement plz need fast
Answer:
Pythagoras Theorem: It is a basic relation in Euclidean geometry among the sides of a right-angled triangle. Pythagoras Theorem is commonly used to find the length of an unknown side in a right-angled triangle. It describes the interrelationship between the base, perpendicular and hypotenuse of a right-angled triangle. The converse of Pythagoras Theorem is used to check whether a triangle is a right-angled triangle or not
Step-by-step explanation:
Statement of Pythagoras Theorem
The Pythagoras Theorem states that in a right-angled triangle the sum of square of the base and square of the perpendicular is equal to the square of the hypotenuse.
Pythagorean theorem
In the right angled triangle there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem. this theorem States the square on the hypotenuse of a right angle triangle is equal to the sum of the squares on the remaining two sides.
when a tank is 20% empty, it has 24 more liters of gas that is does when it is 20% full. How many liters of gas could a tank hold if it is full
full answers please no fake answers if answer correctly i will give you brainlist
Answer:
40 L
Step-by-step explanation:
20% empty is the same as 80%full
.8f = .2f + 24
subtract .2f from both sides
.6f = 24
divide both sides by .6
f = 40
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 1/8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.
Answer:
Find the volume of this prism.
Answer:
24% or d
Step-by-step explanation:
Help please i forgot the options on the last one sorry
Hi there!
»»————- ★ ————-««
I believe your answer is:
The x-intercept of the graph is -7. (or (-7, 0). )
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope for the line:}}\\\\m = \frac{8-0}{1-(-7)}\\\\m = \frac{8}{8}\\\\\boxed{m = 1}[/tex]
⸻⸻⸻⸻
Option B is a false statement.
⸻⸻⸻⸻
We can tell with the point (-7,0) that the 'x' intercept of the function is -7.
⸻⸻⸻⸻
The line does not pass (7,0), making option C a false statement.
⸻⸻⸻⸻
The line also does not pass (-1, -8), making option D a false statement.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
-14=x+12 solve for x
Answer:
x= -26
Step-by-step explanation:
-14 = x + 12
x = -14-12
x= -26
Answer:
X = -26
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
What are the coordinates of the point that is 2/5
of the way from A(-4,-2) to B(11,-2)?
Answer:
brainllest f right
a
Step-by-step explanation:
Hey can someone help with this? It’s Khan Academy
Aka suffering.
Thanks.
-Tornado
Answer:
3n+3
hope it helps
Answer for points
3(3x3)(45x6)(45x7)(56x5)(5x5)x0
Answer:
0
Step-by-step explanation:
3(3x3)(45x6)(45x7)(56x5)(5x5)x0 =0
A club with 13 members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?
Answer:
njj
Step-by-step explanation:
A square prism has a height of 16 centimeters and a volume of 784 cubic centimeters. What is the length in centimeters of each side of the square base
Answer:
7cm
Step-by-step explanation:
Volume of a prism = base area x height
base area = area of a square = length²
784 = length² x 16
divide both sides of the equation by 16
length² = 784/16
length² = 49
find the square root of both sides
length = 7
I NEED HELP ASAP PLEASE
Answer:
The last digit is 2
Step-by-step explanation:
I just plugged in different digits as the end of 41875 and divided by 18.
Entered in 418750. Got a decimal.
Entered in 418751 and divided by 18. Got a decimal.
Entered in 418752 and divided by 18. Got 23,264.
Entered in 418753 and divided by 18. Got a decimal.
Entered in 418754 and divided by 18, got a decimal.
418755, decimal
418756, decimal
418757, decimal
418758, decimal
418759, decimal
please help me i am in need of serious help or ill flunk :(
co.op
interest = principle * rate * time in years
8000*0.09*1= 720$
total owed =
principle + interest
8000+720= 8720$
bank
interest = principle * rate * time in years
interest = principle * rate * time in years8000*0.06*1= 480$
principle + interest
8000+480= 8480$
......
6)
Bank A
interest = 1500*2*0.18= 540$
total owed = 1500+540= 2040$
Bank B
compound interest =
1500(1+0.12)^2
compound interest= 1881.6
total owed = 1500+1881.6= 3381.6$
she should choose Bank A less total owed
she'll have to pay the bank 2040$
Cuanto interes ganara lesli si presta 5000 L a pagar en tres años con un interés simple anual de 5%
Answer:
Amount of simple interest in three year = 750
Step-by-step explanation:
Given:
Amount invested = 5,000
Number of year = 3 year
Rate of interest = 5% Annually
Find:
Amount of simple interest in three year
Computation:
Simple interest = (P){R)(T)
Amount of simple interest in three year = (5,000)(3)(5%)
Amount of simple interest in three year = (5,000)(3)(0.05)
Amount of simple interest in three year = (5,000)(0.15)
Amount of simple interest in three year = 750
Simplify the expression. (–8.6)0
1
–1
–8.6
0
Answer:
(-8.6)0
= 0
explanation:
For Circle A, if the measure of BDC=20 and the measure of BDC=4x-12, then what is the value of X??
Amy is 8 years older than Ben. I’m 5 years time, she will be twice Ben’s age. How old is she right now?
Look at the attached screenshot.
Answer:
yes...
Step-by-step explanation:
Pls I need help with this
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
[tex]\sqrt{36}[/tex] = hypotenuse
6 = hypotenuse
Please help, the question is in the picture.
Step-by-step explanation:
answer is first option,,,
the point slope equation of a line is
Step-by-step explanation:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
A soccer field is 120 yards long and 60 yards wide. How long is the diagonal of the field?
Answer:
134.16 yards or 134.2 if you round to the nearest tenth
Step-by-step explanation:
Using the formula a^2+b^2=c^2
120^2+60^2=c^2
18000=c^2
the square root of 18000 is around 134.16.
Use the following list of balances for Paul's Guitar Shop to answer the following question. Guitar Sales 24,800, Depreciation expense 2,000, Wage expense 10,950, Rent 500, Music Lesson Revenue 3,000, Interest expense 500, Supplies expense 500, Utilities expense 400. What is the TOTAL value of EXPENSES? *
Answer:
The Total Value of Expenses is $14,350
Step-by-step explanation:
AMOUNT
Depreciation Expense $ 2,000
Wage Expense $ 10,950
Interest Expense $ 500
Supplies Expense $ 500
Utility Expense $ 400
TOTAL $ 14,350
guys please help me i cant solve this logarithmic equation
Answer:
Step-by-step explanation:
I'll just write log for log base 10. The important rules about logarithms we need to know are:
[tex] a \log b = \log( b^a) [/tex]
[tex] \log a + \log b = \log( ab) [/tex]
and at the end we'll need something like
[tex]\log a = \log b \implies a=b[/tex]
Suitably armed we can begin,
[tex] \left( 1 + \dfrac{1}{2x} \right) \log 3 + \log 2 = \log (27 - 3^{1/x}) [/tex]
First rule,
[tex] \log 3^{ 1 + 1/2x} + \log 2 = \log (27 - 3^{1/x}) [/tex]
Second rule,
[tex] \log 2(3^{ 1 + 1/2x}) = \log (27 - 3^{1/x}) [/tex]
Third rule,
[tex] 2(3^{ 1 + 1/2x}) = 27 - 3^{1/x} [/tex]
We can rewrite this to be a quadratic equation in [tex]y=3^{1/2x}[/tex].
[tex] 6 (3^{1/2x}) = 27 - (3^{1/2x})^2 [/tex]
[tex]y^2 +6y - 27 =0[/tex]
[tex](y - 3)(y+9)=0[/tex]
[tex]y=3 \textrm{ or } y=-9[/tex]
First solution:
[tex]3^{1/2x} = 3 = 3^{1}[/tex]
[tex]1/2x = 1[/tex]
[tex]1=2x[/tex]
[tex]x = 1/2[/tex]
Second solution,
[tex]3^{1/2x} = -9[/tex]
No real powers of 3 will be negative, no solution here.
Answer: x=1/2
Check:
1 + 1/2x = 2 so the left side is log 2(3²) = log 18
Right side, log(27-3^2) = log 18 √
1 of 5
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many
students are girls?
Answer:
15 girls
Step-by-step explanation:
[tex]\frac{4}{3}[/tex] has 7 per "unit group" 35/7 = 5
so the ratio would be [tex]\frac{20}{15}[/tex]
the question states ratio is [tex]\frac{boys}{girls}[/tex]
thus 20 boys , and 15 girls
Mía ha comprado un terreno en el emporio de Gamarra.
Si desea destinar la mayor superficie rectangular posible del terreno para colocar su maquinaria, ¿cuánto mide la superficie del terreno que queda disponible para otros ambientes?
Un reto para obtener el Logro destacado:
Mía desea comprar un segundo terreno, esta vez de forma rectangular, cuya área sea de 650 m2 y para ello evalúa las posibles dimensiones que puede tener dicho terreno. Si quiere gastar lo menos posible en cercar el terreno, ¿cuáles deben ser sus dimensiones? (Considera como medida de las dimensiones solo números enteros) (Cercar es rodear un terreno, con una cerca, valla, muro, etc., para delimitarlo.)
Answer:
mkana
Step-by-step explanation:
In ΔVWX, x = 160 cm, v = 150 cm and ∠W=77°. Find the length of w, to the nearest centimeter.
Answer:
The length of the third side is approximately 193.14 cm
Step-by-step explanation:
The given dimensions of the sides of triangle ΔVWX are;
X = 160 cm
V = 150 cm
The measure of the included angle, m∠W = 77°
By cosine rule, we have;
w² = v² + x² - 2·v·x·cos(W)
∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35
∴ The length of the third side, w = √37,302.35 ≈ 193.14
The length of the third side, w ≈ 193.14 cm