Answer:
penis
Step-by-step explanation:
c)
Beth invests $2000 at a rate of 2% per year compound interest.
Calculate the minimum number of complete years it takes for the value
of Beth's investment to increase from $2000 to more than $2500.
Answer:
Step-by-step explanation:
We'll first find out how long it takes for the account to have 2500 in it, then we'll add a year (we'll check ourselves anyway, just to be sure!) This is an exponential growth problem of the form
[tex]A(t)=P(1+r)^t[/tex] since the compounding is only done once a year. Filling in:
[tex]2500=2000(1.02)^t[/tex] Begin by dividing both sides by 2000 to get
[tex]1.25=(1.02)^t[/tex] In order to get that t down from its current position in the equation, we will take the natural log of both sides. This allows us to pull the t down and put it out front like this:
ln(1.25) = t ln(1.02) Now divid both sides by ln(1.02) and you will see that
t = 11 years. At 11 years (rounded), the account will have
[tex]A(t)=2000(1.02)^{11}[/tex] = 2486.75 and after 12 years:
[tex]A(t)=2000(1.02)^{12[/tex] = 2536.48
t = 12 works!
The minimum number of complete years it would take the investment to increase to $2500 is 12 years.
Definition of compound interestCompound interest is when both the principal and the interest earned increases in value at the interest rate per period.
Formula for determining the number of yearsNumber of years = In(FV / PV) ÷ r
FV = future value PV = present value r = interest rate
In(2500 / 2000) ÷ 0.02
In (1.25) ÷ 0.02
= 11.2 years
= 12 years
To learn more about compound interest, please check: https://brainly.com/question/18760477
Write an equation of the line in point-slope form that passes through the given points.
(-1,3) and (-9,-2)
could someone please help
Lucas and Tony were trying to solve the equation: x^2=16x+25 Lucas said, "The x^2, squared term is isolated, so I"ll take the square root of both sides and solve." Tony said, "I'll solve using the quadratic formula with a=1,b=16, an c equals 25." Whose solution strategy would work? Choose 1 answer:
Answer:
Tony's solution strategy
Step-by-step explanation:
Given the equation that Lucas and Tony trying to solve expressed as: x^2=16x+25
This can be written in standard form as x^2 - 16x - 25 = 0
This can then be factorized using the general formula
x = -b±√b²-4ac/2a where a, b and c are constants
From the given expression;
a = 1, b = -16, c = -15
Hence the best strategy that would have worked based on the explanation is Tony's
Answer: Neither
Step-by-step explanation: got it right on khan
Slope of (-16,3) (-5,-6)
A man received a monthly salary of $3500 together with a commission of 5% on all sales over $5000 per month. Calculate his gross salary in a month in which his sales amounted to $40,000.
Answer:
$5500
Step-by-step explanation:
3500 + 0.05 * 40,000 = 5500
His gross salary in a month in which his sales amounted to $40,000 would be; 5500 dollars.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
It is given that man received a monthly salary of $3500 together with a commission of 5% on all sales over $5000 per month.
Let the x represents his gross salary in a month in which his sales amounted to $40,000.
Therefore,
x = 3500 + 0.05 (40,000)
x = 3500 + 2000
x = 5500
Hence, his gross salary in a month in which his sales amounted to $40,000 would be; 5500 dollars.
Learn more about multiplications;
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#SPJ2
What value of x makes this equation true?
12x - 15 = 6 - 3x
Answer:
7/5
Step-by-step explanation:
Isolate x
12x-15=6-3x
12x-15+15=6-3x+15 (add fifteen, addition property of equality)
12x=6-3x+15
12x=21-3x (combine like terms)
12x+3x=21-3x+3x (add 3x, addition property of equality)
15x=21 (combine like terms)
15x/15=21/15 (divide by 15, division property of equality)
x=7/5 (simplify)
En el numeral 87.684 la cifra de las decimas es la cifra de las centésimas es la cifra de las milésimas es la parte entera de la expresión decimas es en la parte entera, la cifra de unidades es , mientras que la cifra de la decena es
Answer:
La cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.
Step-by-step explanation:
Para responder la pregunta, se debe descomponer el número en cuestión:
87.684
8 = Indica la cantidad de decenas del número, es decir, 8 decenas (80).
7 = Indica las unidades dentro de la decena, es decir, 7 unidades más que 80.
.6 = Indica la cantidad de decenas del entero.
.08 = Indica la cantidad de centésimas del entero.
.004 = Indica la cantidad de milésimas del entero.
Así, la cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.
I will mark you brainliest
Which solutions make this inequality true? 3x>-30?*
X can be - 10
X can be -8
X can be o
X can be -12
x can be 3
Answer:
X can be -8, 0, and 3
Step-by-step explanation:
-8x3=-24
0x3=0
3x3=9
so -24, 0, and 9 are all bigger than -30 because -30 is a negative number.
-24>-30
0>-30
9>-30
Hope this helps!
Tomas bikes 3 3/4 miles each morning and 2 1/2 miles each afternoon
Answer:
6 1/4
Step-by-step explanation:
1/2 = 2/4
2/4 + 3/4 = 5/4 which is 1 1/4 simplified.
Then add the whole numbers, 2 + 3 = 5
5 + 1 1/4 = 6 1/4
Tomas rides 6 1/4 miles everyday.
An oil-drilling rig has dug a hole to a depth of -60 ft. after one full day and night of continuous
use. The rate of the rig stayed constant over that time.
Part A: The rig will be used to dig a second hole with a depth of -150 ft at the same rate as
before. How many hours will the rig take to complete digging the hole?
Answer:
It will take 60 hrs
Hope this helped!
Answer:
It would take 60 hours for the rig to complete digging the -150 ft. hole.
Step-by-step explanation:
Hint: Using ratios will help solve questions like this one.
The first hole was dug -60 ft. below the surface for a whole day and night. A day lasts 12 hours and the same goes for a whole night. That's 24 hours in total. This will help answer Part A. A second hole was dug -150 ft. below the surface with the same rate as the first hole. Let's put this into a ratio.
-60 : 24
-150 : ?
Finding the scale factor in ratios will help solve for the missing value. We can divide -150 by -60 which results in 2.5. Multiply 2.5 by 24 and you will get 60 hours as your final answer. I hope you will find this helpful! :D
I will give u brainliest if u actually help me explain this in ur own words :,(
When a complex number is in the denominator, why is it necessary to multiply by the conjugate?
Answer:
It just makes doing things (like adding and subtracting other numbers) easier if the denominator is a real number. Other than that we just do it out of tradition
This step is done to make the denominator go from a complex number in the form a+bi into a purely real number in the form a^2+b^2 (where 'a' and b are any real numbers).
This is because multiplying a+bi with its conjugate a-bi leads to the following steps
(a+bi)(a-bi)
(a)^2 - (bi)^2 ... difference of squares
a^2 - b^2*i^2
a^2 - b^2*(-1) .... recall that i^2 = -1
a^2 + b^2
----------------
So for example, if your denominator was 2+3i, then you'd multiply that by the conjugate 2-3i and you'd end up with the final denominator of 2^2+3^2 = 4+9 = 13. In this case, a = 2 and b = 3.
Note: make sure to multiply both top and bottom by a-bi (not just the denominator).
What is the value of x in the equation -5x+9=
- 3x + 9 = 1 / 8x - 3?
WHATS THE ANSWER
Answer:
0
Step-by-step explanation:
-5x+9=-3x+9
-5x-(-3x)+9=9
-5x+3x=9-9
-2x=0
x=0/-2
x=0
Describe how to transform (^5 sq root x^7)^3 into an expression with a rational exponent. Make sure you respond with complete sentences.
Answer:
[tex]x^{\frac{21}{5}}[/tex]
Step-by-step explanation:
[tex]5^{th} \ root \ of \ x^7 = (x^ 7)^{\frac{1}{5}}[/tex]
[tex]Using \ the \ rule : \sqrt[n]{x} =x^{\frac{1}{n}} \\\\(x^a)^b = x^{ab}[/tex]
[tex](x^7)^{\frac{1}{5}} = x^{\frac{7}{5}}[/tex]
[tex]( x^{\frac{7}{5}})^3 = x^{\frac{21}{5}}[/tex]
What is a cofunction? Give examples and explain the purpose.
Another not so difficult one, Giving Brainliest and 35 points
Answer:
[tex] 3^{-2}=\frac{1}{3²}=\frac{1}{9}[/tex]
Answer:
1/9
Step-by-step explanation:
cause it would the negative would got the 3 so it would be -3×-3 so it would be positive 9 with a 1 over it
which line is parallel to y=3/4x+10
1. y=-3/4+1
2. y=4/3x+8
3. y=-4/3-10
4. y=3/4x-6
The answer would be number 4, y=3/4x-6.
This is because both of the equations share the same slope of 3/4x.
Find the measure of m∠K
Answer:
<k = 20
Step-by-step explanation:
Inscribed Angle = 1/2Intercepted Arc
<K = 1/2 (40)
<k = 20
can someone help me figure this one out please?
Answer:
Linear equations
Step-by-step explanation:
An easy and simple equation. F(t) = -15t +300
Find the distance between A(-1, -1) and B(4, -5). Round your answer to the nearest tenth.
Answer:
6.4 units (nearest tenth)
Step-by-step explanation:
Distance between 2 points
[tex] = \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]
Distance between A and B
[tex] = \sqrt{[ - 1 - ( - 5)]^{2} + ( - 1 - 4)^{2} } [/tex]
[tex] = \sqrt{( - 1 + 5)^{2} + ( - 1 - 4) {}^{2} } [/tex]
[tex] = \sqrt{ {4}^{2} + ( - 5) {}^{2} } [/tex]
[tex] = \sqrt{41} [/tex]
= 6.4 units (nearest tenth)
The equation a + b = c could be true or false.
Find the center and raduis of the circle
Answer:
B
Step-by-step explanation:
Because the equation can be written in the form (x-p)^2+(y-q)^2. So it represents a circle with the radius r=3 and the center of (5,0).
Answer:
C
Step-by-step explanation:
The circle equation (x-a)²+(y-b)²=r² has a radius of r and a center of (a,b).
You can expand your equation from (x-5)²+y²=9 to (x-5)²+(y-0)²=3².
Using this information, you can see that a=5, b=0, and r=3.
Therefore the center is (5,0) and the radius is 3.
**This question involves circle equations, which you may want to revise. I'm always happy to help!
Find the distance between the points (4, 3) and (0, 6).
Answer:
5
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(0 - 4)² + (6 - 3)²
√(-4)² + (3)²
√(16) + (9)
√25
= 5
for 1 trial, 3 spinners are spun where each spinner has 3 equal sections labeled 1, 2, and 3. What is the probability that at least two spinners land on 1?
Answer:
80/121
Step-by-step explanation:
For simplicity,
Probabilities of getting a red, a blue or a green in a single spin are, respectively, 4/11, 4/11 & 3/11.
Therefore, probabilities of getting 2 reds, 2 blues or 2 greens in 2 spins are, 16/121, 16/121 & 9/121 respectively.
Then, total probability of getting same colour both times would be 16/121 + 16/121 + 9/121 = 41/121.
Any other option would result in 2 different colours. Thus, the probability of getting two different colours in 2 spins = 1 - 41/121 = 80/121.
Solution of 1/5 m = -1
Answer:
m = -5
Step-by-step explanation:
1/5 m = -1
Multiply each side by 5
5*1/5 m = -1*5
m = -5
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m = -5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm':}}\\\\\frac{1}{5}m=-1\\---------\\\rightarrow (\frac{1}{5}m)5=-1(5)\\\\\rightarrow\boxed{m = -5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Based on the family the graph below belongs to, which equation could represent the graph?
Answer:
i believe the answer is A
Step-by-step explanation:
hope this works
MCQ Questions for Class 7 Maths
Fractions and Decimals
1. (1/2)×(1/5)= ____
(a) 1/7
(b) 1/10
(c) 5/2
(d) 2/5
2. Find the area of rectangle whose length is 6.7 cm and breadth is 2 cm.
(a) 13.0 cm2
(b) 13.4 cm2
(c) 13.8 cm2
(d) 14 cm2
3. What is the fraction of the shaded area?
(a) 2/3
(b) 1/3
(c) 1/4
(d) None of these
4. What are fractions with different denominators called?
(a) Like
(b) Unlike
(c) Proper
(d) Improper
5. Indian cricket team won 4 more matches than it lost with New Zealand. If it won 3/5 of its
match, how many matches did India play?
(a) 8
(b) 12
(c) 16
(d) 20
6. Which of the following is a proper fraction?
(a) 28/15
(b) 21/23
(c) 16/7
(d) 34/3
7. What should be added to 21/27 to make it to 26/27?
(a) 26/27
(b) 6/27
(c) 5/27
(d) 7/27
Step-by-step explanation:
Answer 1
⅒
Answer 2
13.3cm²
Answer 3
I cannot see any shaded area and sorry
Answer 4
Unlike
Answer 6
21/23
Answer 7
5/27
hope it helps
Answer:
Step-by-step explanation:
Answer:
A1. The answer is option (b) 1/10
A2. The answer is option (b) 13.4 cm²
A3. Shaded area not provided
A4. The answer is option (b) Unlike Fractions
A5. The answer is option (d) 20
A6. The answer is option (b) 21/23
A7. The answer is option (c) 5/27
Step-by-step explanation:
A1. We multiply the denominators (the numbers on the bottom) and the numerators (the numbers on top) to multiple fractions. As a result, for (1/2) x (1/5), we have
(1/2) × (1/5) = (1 × 1) / (2 × 5) = 1/10.
A2. Multiplying the length by the breadth yields the area of a rectangle. The dimensions in this instance are 6.7 cm in length and 2 cm in width. So, the area may be determined as follows:
Area = length × breadth = 6.7 cm × 2 cm = 13.4 cm².
Hence, the correct answer is (b) 13.4 cm².
A3. Please provide the shaded area.
A4. Fractions that have different denominator are called unlike fractions.
So the answer is option (b)
A5.Let us suppose India played 'x' number of matches
According to the Question, India won 3/5 of its matches, which implies that they won 3/5 * x matches.
It is also mentioned that India won 4 more matches than it lost against New Zealand. Therefore, the number of matches India won against New Zealand is 4 more than the number of matches it lost against New Zealand.
From this, we can set up the equation:
3/5 * x = (x/2) + 4
Multiplying both the sides by 10, we have
6x = 5x + 20
subtracting 5x from both sides:
6x - 5x = 5x - 5x + 20
x = 20
Hence, India played 20 matches.
A6. When the numerator is less than the denominator, the fraction is said to be proper fraction. Hence among the given options, 21/23 fits the best.
Hence option (b) is correct
A7. To find what should be added to 21/27 to make it 26/27, we need to calculate the difference between the two fractions.
Let us suppose that we need to add x
=> 21/27 + x = 26/27
=> x= 26/27 - 21/27 = 5/27
Therefore, the answer is (c) 5/27.
If this net were to be folded into a cube, which number would be opposite of the number 1?
Answer:
4
Step-by-step explanation:
When you fold it to make it a cube, the number opposite to 1 is 4
I need help fast please
Answer:
f (x) = x^2 - 5x - 6
Step-by-step explanation:
That may be the answer
Can someone help me with this? i’m struggling urgent help please!!!!
Answer:
Similar by SAS
Step-by-step explanation:
If you multiply the two given sides by 3/2 you will get the sides for the large triangle
3/2 * 10 = 30 / 2 = 15
3/2 * 24 = 72 / 2 = 36
Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.
Find the other two angles of both the triangles, if they were similar then the triangles are similar
Please help with math
Answer:
easy that thing needs help
x = 8 × Cos( 72 )
x = 8 × Cos( 90 - 18 )
x = 8 × Sin( 18 )
x = 8 × 0.309
x = 2.472
x = 2.470
x = 2.500
x = 2.5