Answer:
8842
Step-by-step explanation:
The approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.
How to determine what will the approximate balance of this savings account be after 3 3 yearsTo calculate the approximate balance of the savings account after 33 years with monthly compounding interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Substituting the values into the formula:
A = $7500(1 + 0.0512/12)^(12*33)
Calculating inside the parentheses first:
A = $7500(1 + 0.00427)^(396)
Now, raising to the power:
A ≈ $7500(1.00427)^(396)
Evaluating this expression:
A ≈ $7500 * 56.951
A ≈ $425,632.50
Therefore, the approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.
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Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answer:
First box: 12.56, second box: 12.56
Step-by-step explanation:
We know the volume (v) is 25.12
We know the base's area (b) is 12.56 (from the statement supplied)
Convert the equation below to slope intercept form 2x+y=3
pls help ASAP
9514 1404 393
Answer:
(b) y = -2x +3
Step-by-step explanation:
Subtract the 2x term to get y by itself on the left.
2x -2x +y = 3 -2x
y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b
need help with questions 15 and 16 please
Answer:
#15: y = -5x -4
#16: y = 2/5x -4
Step-by-step explanation:
Lets start with #15:
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx -4
Pick another point and substitute its x and y values in this equation.
I chose (-1,1) and substituted as 1 = m(-1) -4
Isolate m:
1 + 4 = -m - 4 + 4
5 = -m
m = -5
The Equation in Slope Intercept Form is y = -5x -4
Let's do #16.
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx - 4
Pick another point and substitute its x and y values in this equation.
I used Fractional Points as Whole ones were not seen.
I chose (5/2,-3) and substituted as -3 = m(5/2) - 4
Isolate m:
-3 + 4 = 5m/2 - 4 + 4
1= 5m/2
m=2/5
The Equation in Slope Intercept Form is y = 2/5x - 4
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to put in $60 per month. Yoko opened her account with a starting amount of $530, and she is going to put in $50 per month.
Let x be the number of months after today.
(a) For each account, write an expression for the amount of money in the account after x months.
Amount of money in Chau's account (In dollars) =
Amount of money in Yoko's account (in dollars) =
(b) Write an equation to show when the two accounts would have the same amount of money.
Answer:
A1-60x+460
A2-50x+530
B-60x7+460
50x7+530
Step-by-step explanation:
A1 and A2-since x is equivalent to number of months we multiply the number of months then add it to the original cost to get how much total you get in the account.
B-you add 50 to 530 and 60 to 460 until they equal the same amount in this case its 7 times.
when you Subtract: 70-(-11) what is your answer
Answer:
81
Step-by-step explanation:
Hannah buys ice cream and onions at the store
She pays a total of 35.16
She pays a total of 4.44 for the ice cream
She buys 6 bags of onions that each cost the same amount
Write and solve an equation which can be used to determine x, how much each bag of onions costs
Answer:
x=5.12
Step-by-step explanation:
35.16= 4.44+6x
30.72=6x
5.12=x
x=5.12
Hope this helps :)
Simplify: Square root of -16
4
4*4 = [tex]\sqrt{x}[/tex]16 not sure how it gets negative
Solve for x. Enter the solutions from least to greatest. (−5x+4)(x−3)=0
lesser x=
greater x=
what is the surface area
Help Plz
WIll mark brainliest
Answer:
y=+|x-3|
Step-by-step explanation:
We know it is positive because it is expanding upward. So +. We know it is x-3 because if it is inside the absolute value signs, the constant(-3 in this case) is opposite. So it is 3. And 3 matches with the vertex of the graph. And the ending is 0, so I omitted it bc its still on the x intercept, meaning it has a y value of 0.
Answer:
fam good luck
Step-by-step explanation:
John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
sample response: The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.
Answer:
The transformation rule should be applied to the pre-image. The application of the rule results in the point (8, 12). The transformation rule was applied to the wrong point.
Step-by-step explanation:
Harold is moving a 5- foot tall refrigerator. He tilts it onto its rear edge forming an angle between the back of the refrigerator and the floor; the top edge of the tilted refrigerator is exactly 4 feet above the floor as shown in the following diagram.
What is the cosine of the angle the refrigerator makes with the floor?
A, 4/5
B, 5/4
C, 4/3
D, 3/4
E, 3/5
Please help I’ll give branliest
The cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
Harold tilted the 5 foot fridge, so the slanting height = 5 feet
The tilted refrigerator makes the height 4 feet from the floor.
From the diagram,
The three sides of the triangle according to Pythagoras theorem are
Hypotenuse side, h = 5 feet
Opposite side, o = 4 feet
Let a be the adjacent side.
By Pythagoras theorem,
[tex]Hypotenuse^{2} = Opposite^{2}+Adjacent^{2}[/tex]
⇒ [tex]5^{2} =4^{2} +a^{2}[/tex]
⇒ [tex]a^{2} = 25-16[/tex]
⇒ [tex]a=\sqrt{9}[/tex]
⇒ [tex]a=3[/tex]
Thus the trigonometric ratio cosine of the angle is
[tex]cos \theta =\frac{Adjacent}{Hypotenuse}[/tex]
⇒ [tex]cos \theta =\frac{3}{5}[/tex]
Hence we can conclude that the cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
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Which of the following is a solution of x^2+6x=-18
We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things
The Standard Form of a quadratic equation is ax² + bx + c = 0 If D > 0 , then the equation have two real and distinct roots/zeroes . If D = 0 , then the equation have two equal roots/zeroes .If D < 0 , then the equation have two imaginary roots/zeroes or you can say that no real rootsWhere , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;
[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]
Now , coming back on the question ;
We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;
[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]
[tex]{: \implies \quad \sf D=36-72}[/tex]
[tex]{: \implies \quad \sf D=-18}[/tex]
As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]
[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]
please explain how to do this
Answer:
27.4
Step-by-step explanation:
Use your calculator for this.
Remember, use SOH CAH TOA
We have an opposite (O) and an adjacent side (A), so we use SINE
sin(41)=18/X......following?
Now, solve for X by multiplying both sides by X......sin(41)(X)=18
Then, divide both sides by sin(41).
Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!
Answer:
x = 11.8
Step-by-step explanation:
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ sine 41 = [tex]\frac{18}{x}[/tex]
⇒ 0.656 = [tex]\frac{18}{x}[/tex]
multiply 18 on both sides:
⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18
⇒ 11.808 = x
round to the nearest tenth:
⇒ 11.808 = 11.8
Solve the system.
4x+2y+3z=12
2x−3y+5z=−7
6x−y+4z=−3
Help with this please
Answer:
$1.21 per song
Step-by-step explanation:
6 × $1.21 = $7.26
17 × $1.21 = $20.57
20 × $1.21 = $24.50
Over the past few years Donald made 40 trips to the amusement park. He drove 400 km in all. The distance travelled by him on each trip to the park is:
Answer:
10
Step-by-step explanation:
Answer:
10 km
Step-by-step explanation:
total no of km covered=400
total no of trips=40
distance in each trip= 400/40
=10km
how many one-digit integers are there
Which of the following expressions is equivalent to (2x)3 ?
Group of answer choices
6x4
2x3
8x3
6x3
btw the numbers on the right are exponents
Answer:
6x3
Step-by-step explanation:
....................
please help with question 2 50 points for answer and brainliest
Answer:
b) Reflection over y = -2
Step-by-step explanation:
Reflection over y = -2
Find the length of arc PS. Use 3.14 for pi Round to the nearest tenth. 6.48 in 739 1500 650 R
Answer:
8.3
Step-by-step explanation:
To find a length, we want to find how many radians our arc length is. Let's convert our 73-degree angle into radians, which will give us our radian length.
(73)≈1.2741
Now, we know our arc length is equal to about 1.2741 radians. Let's multiply this by our radius.
1.2741(6.48)≈8.3
Therefore, our arc length is about 8.3 inches.
I hope this helps!
( not my answer, i saw this question posted somewhere else and it was already answered :)
The length of arc PS is 8.3 inches.
The calculation is as follows;Here we have to convert our 73-degree angle into radians, which will give us our radian inch length.
i.e.
(73)≈1.2741
Now, we know our arc length is equivalent to about 1.2741 radians.
Let's multiply this by our radius.
1.2741(6.48)
≈8.3
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At a hospital, 56 percent of the babies born are not girls. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? Round to the nearest percent.
5%
7%
21%
27%
Answer:
It's the first option 5%
Step-by-step explanation:
The probability of a premature baby girl being born at this hospital is,
⇒ 5%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, If the likelihood of boys being born is 56%,
Then, the complement of that is the likelihood of girls being born which is,
⇒ 100% - 56% = 44%.
Since, we are given that of the baby girls born, 12% are premature, the probability of a premature baby girl being born is:
⇒ (0.44)(0.12)
= 0.0528
⇒ 5.28%
Thus, The probability of a premature baby girl being born at this hospital is,
⇒ 5%
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GIVING BRAINLIEST Find the surface area of the net below
Answer:
119
Step-by-step explanation:
1/2x5x7x4+7x7
can I have the brainliest ?
Answer:
119 m
Step-by-step explanation:
First find the square 7x7 = 49m
Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5
17.5 * 4 = 70m
70m + 49m = 119m
Simplify the expreesion (6x²) (4x²)
Answer:
the answer is 24x⁴
first you multiply 6 by 4,
next you multiply X² by x², which really means you add the numbers on top of the variable
does anyone know this i will give brainliest
Answer: -324.4
Step-by-step explanation:
1 NEED HELP ASAP WILL GIVE BRAINLY
Answer:
c
Step-by-step explanation:
I believe its c I've done this last semester
help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
I beleive is is -2% because 5 is 2 more than 3
so then 5-2=3
Answer:
Error Is 100(2/3) 66.7%
2a + b = 20
show your work
Answer:
I posted it above!!!
Step-by-step explanation:
hoped I helped:)
[tex]5^{2}= 55[/tex]
Answer:
bugahhh
Step-by-step explanation:
bugahhh
Answer:
2 is actually 11
Step-by-step explanation:
5 x 11 = 55
divide 5 from both sides to get,
2 = 11
I think you meant two as a variable maybe?
How do i slove for x2 + 19 = 3
Answer:
x = ± 4i
Step-by-step explanation:
x^2 + 19 = 3
Subtract 19 from each side
x^2 +19-19 = 3-19
x^2 = -16
Take the square root of each side
sqrt(x^2) = sqrt(-16)
x = sqrt(-1*16)
x =sqrt(-1) * sqrt(16)
We know that the square root of -1 is the imaginary number i
x = ± 4i