Solve this application using logarithms.
How long will money in savings take to double at 5% interest compounded annually? Round the answer to the nearest hundredth of a year.
Answer:
14.21
Step-by-step explanation:
What is the value of x
Solve the system of equations -4x + 3y = -2 y = x - 1
The solution to the system of equations -4x + 3y = -2 and y = x - 1 is x = -1 and y = -2.
What is the solution to the system of equations?Given the system of equations in the question:
-4x + 3y = -2
y = x - 1
Solve the system of equations by substituting the expression for y from the second equation into the first equation:
-4x + 3y = -2
Plug in y = x - 1:
-4x + 3( x - 1 ) = -2
Simplifying, we get:
-4x + 3x - 3 = -2
Solve for x:
-x = -2 + 3
-x = 1
x = -1
Now, plug x = -1 into equation 2 and solve for y:
y = x - 1
y = -1 - 1
y = -2
Therefore, the solution is x = -1 and y = -2.
Learn more about system of equations here: brainly.com/question/30319215
#SPJ3
Huixian needs to pack 171 pens 63 pencils and 27 erasers into identical gift bags so that each item is equally distributed among gift bags.find the largest number of gift bags can be packed
Answer:
The largest number of gift bags that can be packed is:
9
Step-by-step explanation:
To find The largest number of gift bags that can be packed, we need to find the greatest common divisor of these numbers.
Listing the prime factorization's for each number:
171 = 3 x 3 x 19
63 = 3 x 3 x 7
27 = 3 x 3 x 3
As we can clearly see from the prime factorization the greatest common factor of these numbers is 9(3×3)
The largest number of gift bags that can be packed is:
9
For bananas are to be selected from a group of seven in how many ways can this be done
A helicopter hovers 950 over......
Find the slope of the line on the graph
Explain the process of solving the following equation: 4^x - 2 = 20
I really need this answer to be correct
Which ordered pair is a solution of y = x + 12?
(24, 12)
(9, 21)
(–12, –24)
(0, –12)
ABCD is a square. Given only the choices below, which properties would you use to prove AEB ≅ DEC by SAS? The diagonals are ⊥ to each other. Opposite sides are | |. The diagonals bisect each other. All sides are congruent.
Which image of figure WXYZ is under the composition T 2,7 . D 0,2?
A.figure A
B. figure B
C.figure C
D.figure D
Answer:
A. Figure A
Step-by-step explanation:
We are given the figure WXYZ.
It is required to find the final figure after [tex]T_{2,7}D_{0,2}[/tex].
Now, [tex]D_{0,2}[/tex] means to dilate the figure by 2 units and [tex]T_{2,7}[/tex] means to translate it by 2 units to the left/right and seven units up/down.
As we have to apply [tex]T_{2,7}D_{0,2}[/tex] to the figure.
This means that first dilation is applied and then translation.
Since, the all the figures are dilated. We focus on the translations.
We can see that, only figure A is translated 2 units to the right and 7 units upwards.
So, option A is correct.
A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
The weight of the contents in the container, to the nearest pound, is 117 pounds.
To calculate the weight of the contents, we first find the volume of the container, then multiply it by the weight per cubic foot.
Step 1: Calculate the volume of the container.
Volume = length × width × height
Volume = 13.5 ft × 10.5 ft × 2.5 ft
Volume = 354.375 cubic feet
Step 2: Calculate the weight of the contents.
Weight = Volume × Weight per cubic foot
Weight = 354.375 cubic feet × 0.33 pounds per cubic foot
Weight ≈ 116.8725 pounds
Rounded to the nearest pound, the weight of the contents is 117 pounds.
First, we find the volume of the container by multiplying its length, width, and height together. The formula for the volume of a rectangular prism is length × width × height. In this case, the dimensions are given as 13.5 feet for the length, 10.5 feet for the width, and 2.5 feet for the height.
Next, we multiply the volume of the container by the weight per cubic foot of the contents to find the total weight. The average weight per cubic foot is given as 0.33 pounds.
Finally, we round the calculated weight to the nearest pound to match the desired precision. In this case, the weight of the contents is rounded to 117 pounds.
Complete question:
A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Which answer best describes the shape of this distribution?
For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of 7 3 π meters? A) 35° B) 50° C) 70° D) 140°
Answer:
the answer is (D)
Step-by-step explanation:
Choosing a 4-letter password using only 5 letters that may each be used more than once. How do you do this??
Challenger Elementary School has 8 0 0 800800 students. Every Wednesday, 1 2 % 12%12, percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?
Given a possible triangle ABC with a=5, b=11, and A=23 degrees, find a possible value for angle b. Round to the nearest tenth. A. 10.2° B. 11.2° C. 59.3° D. no solution Please select the best answer from the choices provided
The monthly rent of Marilyn's house went from $500 to $400, if p is the percent decrease in the rent, which proportion can be used to calculate p?
Answer:
D
Step-by-step explanation:
doing the test right now
Someone please help me?
which of the following equations can be used to solve for the radius
Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:
f(x) = 4x − 4
g(x) = x − 1
The width of a rectangular poster is 16 in its length is twice its width find the perimeter
Let logba=3 logbc=2 logbd=5 what is the value of logba^3d^4/c^2
Answer:
25
Step-by-step explanation:
Which equation is NOT true?
A. 15x + 55 = 6x + 4x
B. 15x + 55 = 26x
C. 25x + 55 = 180
D. m ∠S = 6x + 4x
Answer:
C
Step-by-step explanation:
Answer:
A. 15x + 55 = 6x + 4x
Step-by-step explanation:
Process of elimination the rest are true so this one is not. The angles of one side are supplementary with these angles which means they are not congruent.
Sin (2x -9)= Cos (x +30) to solve for x
WILL GET BRAINLIEST
Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°
10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
Please help due tomorrow! Math
the bottle of water contains 32 fluid ounces of water. How many cups of water are in a bottle.
There are 4 cups of water in a bottle containing 32 fluid ounces.
We have,
The number of cups in a bottle of water depends on the conversion rate from fluid ounces to cups.
1 cup is equivalent to 8 fluid ounces.
To find the number of cups in a bottle containing 32 fluid ounces of water, we can divide the total number of fluid ounces by the conversion rate:
So,
= 32 fluid ounces / 8 fluid ounces per cup
= 4 cups
Therefore,
There are 4 cups of water in a bottle containing 32 fluid ounces.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ6