Answer:
2022
Step-by-step explanation:
The duration of the loan David takes = 20 year loan
The amount David takes as loan = 70,000
The year David takes the loan = 2010
The year/loan balance relationship is y = -98·x² - 1,531·x + 69,710 (We note that the proper constant for the loan balance should be approximately 70,000, therefore the added zero)
Where;
x = The number of yeas
y = The balance
The year his loan balance will be $37,234.7, is given as follows;
37,234.7 = -98·x² - 1,531·x + 69,710
-98·x² - 1,531·x + 69,710 - 37,234.7 = 0
-98·x² - 1,531·x + 32,475.3 = 0
Factorizing with a graphic calculator, gives;
-98·(x - 11.998)·(x + 27.62) = 0
∴ x = 11.998 ≈ 12 or -27.62
The number of years it takes for the loan balance to be $37,234.7 = 12 years
Given that he took the loan in 2010, the loan balance will be $37,234.7 in 2010 + 12 = 2022
Evaluate: 4+8 / 2 x (6 - 3)
Answer:
16
Step-by-step explanation:
4+8/2*(6-3) = 4+8/2*3 = 4+4*3 = 4+12 =16
Answer:
18
Step-by-step explanation:
4+8 /2 *(6-3)
=4+8/2 * 3
=(4+8)*3/2
=12*3/2
=36/2
=18
Triangle ABC has angle measrures as shown
(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work
Answer:
[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:
[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]
Solving for [tex]x[/tex]:
[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]
Substitute [tex]x=11[/tex] to solve for angle C:
[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]
Determine the value of angle V in the picture below. Please help
Answer:
40 degrees
Step-by-step explanation:
Mathematically, the sum of two opposite interior angles of a triangle equals the exterior angle
Thus, we have it that;
60 + (7x + 5) = 20x
60 + 5 = 20x-7x
13x = 65
x = 65/13
x = 5
But angle V = 7x + 5
V = 7(5) + 5
V = 35 + 5
V = 40
what is the smallest number
5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1
offering all my points this is needed!!!
Andrea played dominos nonstop for 52 minutes in Little Havana. If each match lasted 13 minutes, how many matches did she play in that time?
Answer:
4 Matches
Step-by-step explanation:
According To the Question,
Given, Andrea played dominos nonstop for 52 minutes.And, each match lasted 13 minutes .Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]
Thus, Total Matches = 52 / 13 ⇔ 4 Matches
pls help i really need this grade
90×(2÷12) please help its for maths
Answer:
15
Step-by-step explanation:
You would divide 2 by 12 first and then multiply it by 90.
Answer:
Step-by-step explanation:
90 * (2 ÷ 12)
90 *([tex]\frac{1}{6}[/tex])
90*1/6
90/6
15
therefore 15 is the required answer.
Express the location of the point on the number line as both a fraction and a decimal. A number line that has moving left to right, a starting mark at 0, nine unlabeled tick marks, a tick mark labeled one-tenth, nine unlabeled tick marks, a tick mark labeled two-tenths, nine unlabeled tick marks, and an ending tick mark at three-tenths. There is a dot at the ninth tick mark to the right of one-tenth.
Answer:
9 / 100 ; 0.09
Step-by-step explanation:
From the line plot given :
The number of unlabeled ticks marks between any two labeled tick marks can be obtained by :
(Difference between any two successive labeled tick marks / number of tick marks)
Picking the labeled tick marks, 0 and 1/10
(1/10 - 0) / 10
1 / 10 ÷ 10
1/ 10 * 1 / 10 = 1 / 100
To find the marked point : (this is tick mark 9 from 0) ;
Number of ticks * distance between ticks
Location of marked tick = 1 / 100 * 9 = 9 / 100
Decimal equivalent = 9/100 = 0.09
Nick spends 18% of his monthly budget on his rent payment, which is $700.
Which proportion can be used to calculate Nick’s total monthly budget?
Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]
Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]
In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]
Un poste de luz tiene un cable en la punta con el que forma un ángulo de 60°. Indique la longitud del poste sabiendo que el cable mide 7 metros desde la punta del poste hasta el suelo.
Answer:
4.04 metros
Step-by-step explanation:
Resolvemos la pregunta anterior usando la función trigonométrica de
tan θ = Opuesto / Adyacente
θ = 60 °
Frente = 7 metros
Adyacente =? = x
Por eso
bronceado 60 = 7 / x
Multiplicar cruzada
= tan 60 × x = 7
x = 7 / tan 60
x = 4.0414518843 metros
Aproximadamente = 4.04 metros
In a right angled triangle where angle A= 90° and AB=AC. What are the values of angle B.
Answer:
45°Step-by-step explanation:
This is an isosceles right triangle as two legs are congruent.
The angle measure of both acute angles (B and C) is same:
m∠B = 90°/2 = 45°How many solutions exist for the system of equations graphed below? 3 2 54 -3 -2 -1 1 1
Answer:
Step-by-step explanation:
One solution if they intersect (which is the case), and zero if they are parallel and apart, and infinite if they are parallel and coincident, two lines piled on top of each other.
Will
Give BRIANLIST
Write the sentence as an equation use x to represent a number
“Six times the difference of 11 and a number is -72”
Answer:
6 × (11 - x) = -72 => x = 23
or
6 × (x - 11) = -72 => x = -1
Step-by-step explanation:
there are at least two possibilities, as the "difference between two numbers a and b can be excised as either a-b or b-a.
in any case, just following the sentence
Six times = 6 ×
difference of 11 and a number = 11 - x
is -72 = -72
so,
6 × (11 - x) = -72
and that is true for x = 23
but
the other direction is possible too
6 × (x - 11) = -72
and that is true for x = -1
(140-x)/(7)+70 = 120. Please answer correctly.
Select the correct answer. 2 Jay stores hay in cubic stacks on his farm. If the length of each stack is 3 yard, what is the volume of hay in each stack? O A. cubic yard O B. cubic yard OC. cubic yard OD 8 cubic yard 27 Reset Next
Cubic stack would mean all the sides are the same length.
The length of the side is given as 3 yards.
Volume = 3^3 = 3 x 3 x 3 = 27
Volume = 27 cubic yards.
(math)not too hard - pls help
Answer:
x - h(x)
0 - 1
1 - 3
2 - 5
3 - 7
Step-by-step explanation:
Just substitute the x value into the function
What is the length of the diagonal of the square shown below?
5√2
Step-by-step explanation:
By the Pythagorean theorem,
A² + B² = C²
5² + 5² = C²
25 + 25 = C²
C² = 50
C = √50
C = √(2 • 25)
C = √2 x √25
C = √2 • 5
C = 5√2
Answer:
5[tex]\sqrt{2\\}[/tex]
Step-by-step expla
chọn tam giác ==> cạnh huyền là đường chéo của hình vuông ảg
sin(∝)= đối / huyền
⇒huyền= đối /sin(45°)
⇒huyền= 5/ sin(45°)
⇒huyền= 5[tex]\sqrt{2}[/tex]
A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
SOMEONE HELP ASAP PLZ
Answer:
To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.
sin x = O/H
cos x = A/H
tan x = O/A
where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.
sin x = f/d
cos x = e/d
tan x = f/e
Step-by-step explanation:
The trigonometric ratio's as per given side length of a triangle are as follow,
cosx = f/e , sinx = d/e , and tanx = d/f.
Let us consider triangle name as ABC,
Measure of angle ABC = x degree
Measure of angle BAC = 90 degree
Side length AB = f
Side length AC = d
Side length BC = e
For angle x ,
AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.
cosx = adjacent side / hypotenuse
= f / e
sinx = opposite side / hypotenuse
= d / e
tanx = opposite side / adjacent side
= d / f
Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.
learn more about triangle here
brainly.com/question/29122914
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I need help thank you
Answer:
9 is the answer
Step-by-step explanation:
You will multiply 3x3 and 9x1 it will have the least common denominator
What is the volume of the following rectangular prism?
Answer:
14 2/3 units^3
hope this helps
have a good day :)
Step-by-step explanation:
7 1/3 x 2=14 2/3
The volume of the rectangular prism is 14.66 square units.
It is required to find the volume of the rectangular prism.
What is prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.
Given:
The volume is calculated as:
V= w h l
V= 7 1/3 x 2
V= 22/3 x 2
V= 44/3
V=14.66 square units.
Hence, the volume of the rectangular prism is 14.66 square units.
Learn more about prism here:
brainly.com/question/23946563
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farmer joe used 2/13 bags of seeds on each acre of land. If there are 6 acre of land, how much seed did he use?
Answer:
12/13 bags
Step-by-step explanation:
2/13 * 6 = 12/13
Find a, b and c for the function x^2 + 2x - 6 = 0
A person weighing 206 lb volunteers for a clinical trial of a new diet pill. If he loses 2.0 lb per month using the diet pill combined with regular exercise, when will he weigh less than 188 lb?
Answer: 9 months
Step-by-step explanation:
Given
Weight of the person is 206 lb
If he looses 2 lb per month, his weight after x months becomes 188 lb
Net Reduction in weight is [tex]206-188=18\ lb[/tex]
for 18 lb , time period is
[tex]\Rightarrow x=\dfrac{18}{2}\\\\\Rightarrow x=9\ \text{months}[/tex]
Can someone please explain to me how to find a scale factor ?
Answer:
XYUV=123=4
Step-by-step explanation:
The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Here, XYUV=123=4 . So, the scale factor is 4
Answer: albert ein is correct
Step-by-step explanation:
For the pair of similar triangles, find the value of x.
Answer: The value of x is 184.
Step-by-step explanation:
According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.
Now calculating the value of x for the given pair of similar triangles.
According to the given figure:
24 × (2x - 8) = 45 × (x + 8)
(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)
48x - 192 = 45x + 360
48x - 45x = 360 + 192
3x = 552
x = 184
Thus, the value of x is 184.
3/8 of the 20,000 people attending a concert wore shorts. How many people were wearing shorts? Pls help step by step
Answer:
If a question says "A is a 29% of B," then you can write
A
=
29
100
B
.
Step-by-step explanation:
Look at the attached screenshot.
Answer:
yes...
Step-by-step explanation:
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Defined the explicit section for the sqeucrce in the table
Thank you
Answer:
D) [tex]a(n)=7+(n-1)*12[/tex]
Step-by-step explanation:
It is D since you can replace [tex]n[/tex] for any value on the [tex]x[/tex] side of the table and it will give you its corresponding [tex]y[/tex] value.
The angles of a triangle measure 50°, 62°, and x. Find the value of x.
High school geometry
Answer:
It would be 12. Do you need me to explain or are you good?
Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
