Answer:
It will double in the year 2063
Step-by-step explanation:
Let the amount deposited be $x, when it doubles, the amount becomes $2x
we can use the compound interest formula to know when this will happen
The compound interest formula is as follows;
A = P(1+r/n)^nt
In this question,
A is the amount which is 2 times the principal and this is $2x
P is called the principal and it is the amount deposited which is $x
r is the interest rate which is 3.2% = 3.2/100 = 0.032
n is the number of times compounding takes place per year which is quarterly which equals to 4
t is the number of years which we want to calculate.
Substituting all these into the equation, we have;
2x = x(1+0.032/4)^4t
divide through by x
2 = (1+ 0.008)^4t
2 = (1.008)^4t
we use logarithm here
Take log of both sides
log 2 = log (1.008)^2t
log 2 = 2t log 1.008
2t = log 2/log 1.008
2t = 86.98
t = 86.98/2
t =43.49 which is 43 years approximately
Thus the year the money will double will be 2020 + 43 years = 2063
X = 4/5 (x+10)
Find x
Answer:
[tex]x=40[/tex]
Step-by-step explanation:
[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]
Answer:
40
Step-by-step explanation:
x+10= x 5/4
x +10= 5x/4
4x+40= 5x
40= x
x=40
When will 4a ≤ 16 be true?
Answer:
It will be true when a ≤ 4
Step-by-step explanation:
You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.
2 Points
Is either x = 20 or x = 12 a solution to x-8 = 4?
A. x = 20 is a solution, but x= 12 is not.
O B. Neither is a solution.
O c. x = 12 is a solution, but x = 20 is not.
O D. They are both solutions.
Factorise 20x+25
thankful for the help
Answer:
5(4x + 5)
Step-by-step explanation:
Given
20x + 25 ← factor out the common factor 5 from each term
= 5(4x + 5)
Answer:
5(4x+5)
Step-by-step explanation:
divide both with the same number into smallest digit
eg: 5(4x+5)=20x+25
if 5x4=20 and 5x5=25
both can be divided by 5 to get smallest number(factorise it)
Anyone know the answer ?
Answer:
n = 7
Step-by-step explanation:
[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]
Answer:
n = -7 ∪ 7
=> n = |7|
Step-by-step explanation:
S = 12cm = (n + 5) * (n + 5 - 10) / 2
[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]
Hello i really need help
Step-by-step explanation:
The equation is
X + 10205 = 21894
X = 21894 - 10205
X = 11689
Please solve 1/3 ÷ 2/3
Answer:
1/2
Step-by-step explanation:
[tex]\dfrac{1}{3}\div \dfrac{2}{3}=\\\\\dfrac{1}{3}\times\dfrac{3}{2}=\\\\ \dfrac{3}{6}=\\\\\dfrac{1}{2}[/tex]
Hope this helps!
factorise 2x^2 -x-21
Answer:
(x + 3) × (2x - 7)
Step-by-step explanation:
2x² - x - 21
Write as a difference
2x² + 6x - 7x - 21
Factor the expressions
2x × (x + 3) - 7 (x + 3)
Factor the expression
(x +3) × (2x - 7)
find the value of each trigonometric ratio part 2
Answer:
15/17
12/37
12/13
20/21
Step-by-step explanation:
5)
cos A = adj/hyp = 15/17
6)
cos C = adj/hyp = 12/37
7)
cos Z = adj/hyp = 36/39 = 12/13
8)
tan A = opp/adj = 20/21
I don’t know if this is correct , please help !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
change the negative to not domain and the zero to in domain
Step-by-step explanation
Which of the following ribbon has the greatest cost per inch?
You didnt give the sizes of the ribbon so let me help you out. You have to divide the size by total cost, bringing you to the cost per one whatever unit you are using.
Hi, you can get 15 points if you answer this...
Answer:
Si
Step-by-step explanatio:
Answer:
idk
Step-by-step explanation:
hi
The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida
Answer:
number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
Step-by-step explanation:
Given that f represents the number of state parks in Florida.
Also given that number of State Parks in California is 36 more than one third the number of State Parks in Florida
number of State Parks in California = 1/3 (number of State Parks in Florida) + 36
but it is given that There are 85 State Parks in California
and f represents the number of state parks in Florida
85 = 1/3(f) + 36 _________equation
=> 85 - 36 = 1/3 (f)
=> 49 = 1/3 f
=> 49*3 = f
=> f = 147
Thus, number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
Algebra 2 can anyone help??
Answer:
Step-by-step explanation:
cot θ=-9.68
cotθ is negative
so θ lies in 2nd or 4th quadrant.
tan θ=-1/9.68
θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°
3.
sec θ=-9.13+5=-8.13
sec θ is negative so θ lies in 2nd or 3rd quadrant.
cos θ=(-1/8.13)
θ=cos^{-1}(-1/8.13)≈97.1°
How do I solve this?
A=bh/2
A=2/3ft*3/5ft/2
A=2/3×5/5*3/5×3/3/2
A=10/15*9/15/2
A=90÷15/2
A=6ft^2
Answer:
The area of triangle is 1/5 feet².
Step-by-step explanation:
You have to use area of triangle formula, A = 1/2×height×base. Then substitute the following values into the formula :
[tex]area = \frac{1}{2} \times height \times base[/tex]
Let height = 3/5,
Let base = 2/3,
[tex]area = \frac{1}{2} \times \frac{3}{5} \times \frac{2}{3} [/tex]
[tex]area = \frac{1}{2} \times \frac{1}{5} \times \frac{2}{1} [/tex]
[tex]area = \frac{1}{2} \times \frac{2}{5} [/tex]
[tex]area = \frac{1}{5} {feet}^{2} [/tex]
Please HELP. ALSO WHY. 2 question. pLZZ
Answer:
1). Number of kids on the other side = 16
2). Brian took the time to each piece of pie = 20 seconds
Step-by-step explanation:
1). Let the number of kids on one side = x
Then the number of kids on other side = 2x
3 adults helped the side having number of kids = x, then the number of people on this side = x + 3
Since the total number of people on this side = 11
Then the equation will be,
x + 3 = 11
x = 11 - 3
x = 8
Then number of kids on the other side = 2x = 2×8
= 16
2). By unitary method,
∵ Brian took the time to eat 6 pieces of the pie = 2 minutes
∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes
= [tex]\frac{2}{6}\times 60[/tex] seconds
= 20 seconds
How many real solutions does the equation 8x^2 − 10x + 15 = 0 have?
Answer:
It has no real solutions.
Step-by-step explanation
Once you calculate the discriminant, D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.
Answer:
No solutions
Step-by-step explanation:
Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.
Use b^2 - 4ac to find the discriminant.
-10^2 - 4(8)(15) = -580
If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0
Therefore, there are no real solutions
what is 98.5x13? estimated guess only
Answer:
Step-by-step explanation:
To which set of numbers does the number –5 belong? Select all that apply. integers natural numbers rational numbers real numbers whole number.
Answer:
integers
rational numbers
real numbers
Step-by-step explanation:
i answered the question:)
Using number sets, it is found that the number -5 belongs to these following sets:
Integer numbers.Rational numbers.Real numbers.----------------------------------
Numbers are classified as:
Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...}. This set is also called natural. Integer numbers: Number without decimals, that can be positive or negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.----------------------------------
-5 is a negative number, so it is integer.All integers are rational and real, and thus, -5 is integer, rational and real.A similar problem is given at https://brainly.com/question/10814303
Find the slope of the line that passes through (10, 8) and (1, 4).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Step-by-step explanation:
4-8 = -4
1-10 = -9
-4/-9 simplifies to 4/9
Find the surface area of polyhedra
Pls!! show how you got the surface area
Answer:
52.48
Step-by-step explanation:
find the cross sectional area which is the triangle
triangle = 1/2 x 8.2 x 6.4 = 26.24
then, use the area to multiply by the extended length of 2
26.24 x 2 = 52.48
(—5t^3+4t^2—t)—(8t^2+t)
Answer:
Step-by-step explanation:
Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct?
Answer:
Both conclusions are correct
Step-by-step explanation:
Ivan: The product of an even number of negative fractions is always positive.
When even numbers of same negative fractions are multiplied together, the product is positive.
For instance: -1 × -1
Since the total numbers to be multiplied are even (two -1), the product becomes +1
Ivan's conclusion is correct.
Polina: The product of an odd number of negative fractions is always negative.
When odd numbers of same negative fractions are multiplied together, the product is negative.
For instance: -1 × -1 × -1 × -1 ×-1
Since the total numbers to be multiplied are odd (five -1), the product becomes -1
(-1 × -1) × (-1 × -1) ×-1
= +1 × +1 × -1
The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value
= +1 × -1
= -1
Polina's conclusion is correct
Both are correct.
Answer:
both of them
Step-by-step explanation:
Gizela teaches 5 yoga classes that are each 3/4 hour. Use the drop down menu to complete the equation below to find the number of hours Gizela teaches yoga
5 classes _______ 3/4 hour per class = / hours
Answer:
3.75 hours (3 hours and 45 minutes)
Step-by-step explanation:
5 times 3/4 = 3.75
11m-14<7m+14 work out
Step-by-step explanation:
11m - 7m < 14 + 14
4m < 28
m < 28 / 4
m < 7
Help………………………!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:d
Step-by-step explanation:(2√7 +3√6) (5√2 +4√3)
To open the bracket, multiply the first rational number (2√7 ) with the two numbers in the other bracket and 3√6 with the other numbers in the other brackets.
2√7(5√2+4√3) + 3√6(5√2+4√3)
Multiply number with number and root with root
10√14 +8√21+15√12+12√18
Then look for the roots which have a perfect number and can be broken down. There is 12 and 18 which have perfect numbers.
10√14 +8√21+(15√4 x√3) +(12√9 x √2)
10√14 +8√21 +15 x 2 x√3 +12 x 3 x √2
10√14+8√21+30√3 +36√2 ans
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Use the diagram to answer the questions. Find the value of Z. *Use image given above* :)
Step-by-step explanation:
We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!
Answer:
70
Step-by-step explanation:
Z is part of a right angle so 90-20 is 70
Jill converted the equation of the line 15 x minus 14 y = negative 2 into slope-intercept form and found the slope and y-intercept of the line as follows. 15 x minus 14 y = - 2. 15 x minus 4 y minus 15 x = - 2 minus 15 x. - 4 y = -2 minus 15 x. - 4 y Over - 4= - 2 minus 15 x Over - 4 Y = - 2 Over -4 minus 15 x Over - 4 . y = one-half minus 15 Over 4 x. y = - 15 Over 4x + one-half. slope = -15 Over 4. y-intercept = one-half. What was her mistake? She mixed up the slope and the y-intercept. She got the sign of the slope wrong. She got the sign of the y-intercept wrong. She found the reciprocals of the slope and the y-intercept.
Answer:
B. She got the sign of the slope wrong.
Step-by-step explanation:
This is the correct answer for edge
Answer:
B
Step-by-step explanation:
She got the sign of the slope wrong.
please help with question tagged below
Answer:
1/3
Step-by-step explanation:
3×x=1
x= 1/3
FIND THE MISSING NUMBER!
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, ?, ?, ?, ?, ?,
Answer:
Step-by-step explanation:
10,12,13,20, 21,
