Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
PLEASE HELP ME this is my class work I need it now
Answer:
1st parallelogram = 96yd, 2nd parallelgram = 42in
Step-by-step explanation:
Area of a parallelogram is base x height
1st parallelogram:
The base is 8yd and the height is 12yd so ->
A = bh
A = 8 x 12
A = 96yd
2nd parallelogram:
The base is 7in and the height is 6in so ->
A = bh
A = 7 x 6
A = 42in
2. Select the properties that both rectangles and parallelograms always share.
4 right angles
4 sides of equal length
2 pairs of parallel sides
2 pairs of sides with equal length
2 acute angles and 2 obtuse angles
3. Select the properties that equilateral triangles and isosceles triangles have in common.
0 sides of equal length
2 sides of equal length
3 sides of equal length
3 equal angles
Answer: 1: 2 pairs of parallel sides
2: 3 sides of equal length
Step-by-step explanation:
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a) The properties that both rectangles and parallelograms always share is 2 pairs of parallel sides
b) The properties that equilateral triangles and isosceles triangles have in common is 2 sides of equal length
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
a)
Let the figure be represented as ABCD
Now , the figure ABCD is a rectangle
And , the opposite sides are parallel for a rectangle
Therefore , a rectangle is a parallelogram with 2 pairs of parallel sides
b)
An equilateral triangle is a triangle is 3 equal sides
An isosceles triangle is a triangle with 2 equal sides
Therefore , the property that equilateral triangles and isosceles triangles have in common is 2 sides of equal length
Hence , the parallelogram is solved
To learn more about parallelogram click :
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can somebody help me please
pls help me... ill give brainly
Answer:
The correct answer is C
Step-by-step explanation:
Hope you got it right :)
Figure A maps to figure B with a scale factor of 1 1/2.
What is the value of x?
Answer:
x = 6/2 = 3
Step-by-step explanation:
This is a dilation. A dilation is a change in size, whether it is an enlargement or reduction.
The scale factor is how much the enlargement is.
The side of Figure A is 2.
So we must multiply 2 ⋅ 1 1/2.
2 ⋅ 1 1/2 (3/2) = 6/2
6/2 is equal to 3.
Therefore, the value of x in Figure B is 3.
Which phrase is a description of 2m+7 ?
A- 7 more than 2 times m
B- 2 more than 7 times m
C- 2 times the sum of 7 and m
D- 7 times the sum of 2 and m
Please help
help me please:(
basically 50 points
Answer:
can you zoom in on the picture!
Step-by-step explanation:
PLEASE give me brainliest i never got it before!!!
B) Jillian won the game because the person with the lower mean took fewer putts on average for each hole
Answer:
golf
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
are you trying to answer
What is the missing number?
x + 5/6 = 7/16
Answer:
x= 19/48 i did the math and checked it twice and used a math site so gimme brainly please
Step-by-step explanation:
if 2.34 x 23.5=8 how do you solve this eqaution.
Answer:
it doesnt it is 54.99
Step-by-step explanation:
mustiply it then you get 54.99
As a cold front passed through an area, the temperature changed by an average of −4°F°
per hour for 5 hours. What was the total temperature change as the front passed?
Answer:
-20f
Step-by-step explanation:
If It passed in 5 hours then just multiply -4f by 5 to get -20f
Is this correct?? if not pls tell me the correct answer
Answer:
no, but it is A.
Eight years after opening her savings account, Macy had $7,880 in the account which earns annual simple interest. If Macy started with $5,000 in her account and did not make any additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?
7.2%
4.5%
8%
19.7%
the approximate annual interest rate on the savings account is 7.2%.
What is simple interest?Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
Given, Eight years after opening her savings account, Macy had $7,880 in the account which earns annual simple interest.
from the general formula of Simple interest:
Simple interest(SI) = p*r*t/100
where, p = principal amount
r = rate of interest
t = time
in our case
p = 5000,
SI = 7880 - 5000 = 2880
t = 8
Thus,
2880 = 5000 * r *8/100
r = 2880/50*8
r = 7.2%
Thus rate of interest = 7.2%
therefore, the approximate annual interest rate on the savings account is 7.2%.
Learn more bout simple interests here:
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Brandi earned $7 babysitting and $12 cleaning
out the garage. Write two equivalent expressions using the
Commutative Property that can be used to find the total amount
she earned.
Can someone please answer this for me?
7.B
8. On this problem all the number are different on each answer choice buat the numbers that are closest is answer choice D
9. I am pretty sure it is C
10. D
11. Try A
Im sorry if you get this question wrong
Dont guess!
I will mark brainliest if its correct!
Also no links!
Answer:
The correct answer will be; B or 40.
Step-by-step explanation:
Because when the ratio of boys changed from 8 to 32, it increased by "time 4" (8*4 = 32), so the same pattern will be followed for girls, multiplying the number that you already have by four; 10 (amount of girls given) * 4 = 40.
Hope this helped, Good Luck!
The area of triangle ABC is __ square units.
Answer:
17.5
Step-by-step explanation:
(7)*(5)*(.5)= 17.5
Please answer the following! Giving brainliest.
Answer:
City hall: (0,0)
Hospital: (-1,4)
Stadium: (4,1)
Police Station: (3,-2)
Fire Station: (2,-4)
Middle School: (3,-1)
High School: (2,3)
Shopping Mall: (-4,2)
Mr. Gibson mapped out two gardens he wants to build in his backyard. Mr. Gibson's gardens are shown below.
Which equation could be used to find A, the total area of Mr. Gibson's gardens
Answer:36ft
Step-by-step explanation:3 times 3 times 4 is 36
please help me i am stuck on this math question please show work
Can someone tell me how to approach this, I could care less about the answer I just want to know how to solve this without Desmos.
Thank you so much!
Answer:
the vertex is at (4, -14)
Step-by-step explanation:
Review "quadratic equations." These have three terms, and the highest power of x is x^2. We need to identify the coefficients of the x^2, x and x^0 terms to get info needed to identify the axis of symmetry.
Given f(x) = x^2 - 8x + 2, we see that these coefficients are 1, -8 and 2.
b
The formula for the axis of symmetry is x = - ------
2a
which here is x = -(-8)/[2*1], or x = 8/2 or x = 4: the axis of symmetry.
To find the y-coordinate of the vertex, evaluate the function at x = 4:
f(4) = 4^2 - 8(4) + 2 = 16 - 32 + 2, or f(4) = -14.
Thus, the vertex is at (4, -14). The graph is that of a parabola that opens up, and the parabola is symmetric about the vertical line x = 4.
A plumber has a 2-meter length of pipe. He needs to cut it into sections that are 10 centimeters long. How many sections will he be able to cut? (I will give brainliest if you answer first)
Answer:
20 - 10 cm sections can be cut from a pipe of original length 2 m
Step-by-step explanation:
Convert 2 meters to cm:
2 m 100 cm
------ * ---------------- = 200 cm
1 1 m
Next, divide this 200 cm total length by (10 cm/section) to determine the number of sections:
200 cm
--------------------- = 20 sections
10 cm/section
20 - 10 cm sections can be cut from a pipe of original length 2 m
A dolphin is at -28 feet. It swims up and jumps to a height of 8 feet. Write a subtraction expression for the vertical distance the dolphin travels.
Answer:
8-(-28) is the subtraction expression
PLEASE HELP
with explanation
the answer is C easy the question my question so hard why?
(File attached) Show how you got the answer for brainliest
Answer:
Step-by-step explanation:
in the first one 2,4,6,and 8 are equal meaning they all equal to 75. the other angles 1,3,5,and 7 equal 105 because 180 - 75 = 105
for the other ones i'm not sure srry
100 points on this question
Please help
Answer:
I really don't know sorry
Step-by-step explanation:
I am in need of points took much
To graph the point (2, 10) on the coordinate plane, start at the origin. Move 2 units _______ and 10 units ________ . 40 points
Answer:
2 units to the right and 10 units up
Step-by-step explanation:
Please help, very much appreciated.
Answer:
22 1/5 miles per gallon
Step-by-step explanation:
Not sure if the answer is correct i think it is 45/2 turn this in to a proper fraction
becuase 1/90 gallons=1/4 miles so
1/4 times 90 again not sure if i correct.
PLZZZZZZZZZZZ help me with this
Can someone help me with this?
Answer:
Shaded area is 55 units²
Step-by-step explanation:
Ignoring the white cutout, we have a rectangle of length 10 and width 7 (count the squares in each direction). The area of this larger rectangle is
(10 units)(7 units) = 70 units². The white area that we previously ignored has dimensions 3 by 5 units, and thus an area of 15 units²
Subtract the latter from the former, obtaining the net area
70 units² - 15 units² = 55 units²