Answers
Answer:
By 2034 Texas per capita income would reach at least $50,000
Step-by-step explanation:
Given;
[tex]I(t) = 27,992(1.017)^t[/tex]
Converting the given function to log;
[tex]I(t) = 27,992(1.017)^t \\\\\frac{I(t)}{27,992} = (1.017)^t\\\\Log_{1.017} ( \frac{I(t)}{27,992} )= t \\\\(Based \ on \ log \ rule; if \ a = b^y , in \ log \ it \ will \ be \ written \ as, Log_b \ a = y)[/tex]
(B) When I(t) = $50,000, the time "t" will become;
[tex]Log_{1.017} ( \frac{I(t)}{27,992} )= t\\\\Log_{1.017} ( \frac{50,000}{27,992} ) = t\\\\Log_{1.017} (1.7862) = t\\\\34.4 \ years = t[/tex]
Thus, by 2034 Texas per capita income would reach at least $50,000
Related Questions
The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?
Answers
Answer:
(23, 9,200) (26, 10,400)
those are the only 2
A. 48
B. 44
C. 52
D. 40
6. The sum of the ages of a father and his son is 74. Four years ago the
father's age was twice as old as his son. How old is the father now?
Answers
Answer:
A (48)
Step-by-step explanation:
let the father's age = x and his son's age = y
according to the question,
the sum of their ages is 74
×+y=74......equation 1
four years ago (i.e x-4 & y-4) father's age was twice as old as his son
x-4=2(y-4)
or, x-4=2y-8
x-2y=-4.......equation 2
now, in equation 1
x+y=74
hence,
x=74-y
substituting the values in equation 2
x-2y=-4
(74-y)-2y=-4
74-y-2y=-4
74-3y=-4
74+4=3y
3y=78
y=78/3
y=26
Hence the kid is 26 years old
x+y=74
x+26=74
x=74-26
x=48
Hence the dad is 48 years old
Answer:
The correct answer is: Option A: 48
Step-by-step explanation:
Let x be the present age of father and y be the present age of son
Given that
"The sum of the ages of a father and his son is 74"
[tex]x+y = 74\ \ \ Eqn\ 1[/tex]
Now
x-4 will be the age of father 4 years ago
y-4 will be the age of son 4 years ago
The equation will be:
[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]
From equation 1:
[tex]x = 74-y[/tex]
Putting in equation 2
[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]
Put y = 26 in equation 1
[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]
The father is 48 years old now.
Hence,
The correct answer is: Option A: 48
Match the equivalent expressions 4(2x + 3) - 7x
Answers
Solve the following: Eric’s father works two part-time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hoursdoes Eric’s father work each afternoon?The equation for this math problem is 5(a +3) =40 What does the 5 represent? * What is a?
Answers
Round 7.284 to the nearest thousandth.
Answers
Answer:
7.28
Step-by-step explanation.
4 is rounded down to 80 and if you just take away the 0 in 80 its 8.
Answer:
it already is
Step-by-step explanation:
.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down
PLEASE HELP! If I add five to a mystery number and then multiply the result by two, I get twenty four. Write an equation to solve for the mystery number, solve the equation and then check your answer.
Answers
Answer:
The mystery number is 7
Step-by-step explanation:
This is a very easy problem.
let the mystery number=x
2(x+5)=24
2x+10=24
2x=24-10
2x=14
x=7
To check the answer,
Add 5 to 7=12, multiply by 2=24
geometry help please :)
Answers
Answer:
If this is looking at the line In the center then F.
Step-by-step explanation:
The line in the center is the Niscetor of the line segment AC
The number of people call 911 on March 25th?
A) continuous
B) discrete
C) categorical
Answers
Answer:
I think the answer is continuous hope this helps
Step-by-step explanation:
Also got subscribe to my YT channel BlxeVxbes
why is b the answer ???????????????????/
Answers
Answer:
Step-by-step explanation:
its b cuz when u replace any value of x from B to the equation, the value of y satisfies the values of y in B. For instance
y = 4 * -3 + 2
= -10
the value of y is -10 which satisfies the value of y in B but when u use a value of another table suppose A it would be,
y = 4 * 7 + 2
= 30
but the value y corresponding to the value of x we used is not 30
HOPE IT HELPED
Is this true or false? The following graph represents a proportional relationship
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
can someone help me with this?
Answers
Answer:
A'(-2,0) B'(-3,5) C'(0,4)
Step-by-step explanation:
all u have to do is count each original point 3 units left and 4 units up like what the rule for the translation says.
Answer:
A. (-2,0)
B. (-3,5)
C. (0,4)
11. Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat
at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following equations could be used
to determine x, the number of seconds it will take for the boats to be traveling the same speed?
A. 12x + 0.2 = 25x -0.7
C. 12.2x = -25.7x
B. 12 -0.2x = 25 +0.7X
D. 12 +0.2x = 25-0.7x
Answers
12+0.2x=−25−0.7x
Stay Safe!!
81-1 1/5 x < 55
please help i need help fast
Answers
Step-by-step explanation:
81 - 1.2x < 55
81 < 55 + 1.2x (add 1.2x to both sides)
1.2x > 26 (subtract 55 from both sides)
x > 21 2/3.
which expression can be written as 5x(2+7)
Answers
Answer:
Step-by-step explanation:
5x(2+7)
10x+35x
45x
There are no choices. But above is the answer if I need to solve it.
HOPE THIS HELPS
Calculate the value of y
Answers
Answer:
157°
Step-by-step explanation:
(4x - 5)° = (x + 16)°.. (vertical angles)
4x - 5 = x + 16
4x - x = 16 + 5
3x = 21
x = 21/3
x = 7
(x + 16)° + y ° = 180°...(Linear pair angles)
(7 + 16)° + y° = 180°
23° + y° = 180°
y° = 180° - 23°
y° = 157°
If bc+ad=b solve for a
Answers
Answer:
10
Step-by-step explanation:
Answer:
a = c/d
Step-by-step explanation:
ad = b-bc
ad = c
a = c/d
How could the statement "12 less than x" be written?
Answers
Answer:
The statment would be written as "12 - x".
What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively
Answers
Answer:
14
Step-by-step explanation:
aₙ = a₁ + (n-1)*d
59 = 2 + (20-1) * d
59 = 2 + 19d
19d = 59-2 = 57
d = 3
5th term: a₅ = 2 + 4 * 3 = 14
Answer:
14
Step-by-step explanation:
Rob was driving his car slowly and then increased its speed by 40.5 miles per hour to reach a top speed of 60 miles per hour. What was his car's initial speed?
Answers
Answer:
19.5
Step-by-step explanation:
60 - 40.5 = 19.5.
JK has endpoints located at J(15, - 13) and K(-9, 27). What are the coordinates of the midpoint of JK?
Answers
Answer:
[tex](3,7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point J (15, -13)
Point K (-9, 27)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint.
Substitute [MP]: [tex](\frac{15-9}{2},\frac{-13+27}{2})[/tex]Subtract/Add: [tex](\frac{6}{2},\frac{14}{2})[/tex]Divide: [tex](3,7)[/tex]A total of 402 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Answers
Answer:
134 adult tickets were sold adt tye school play.
Step-by-step explanation:
total tickets = adult + student tickets
total tickets= (2×adult tickets)+adult tickets
total tickets = 3× adult tickets.
402=3×adult tickets.
402÷3=adult tickets
134=adult tickets
The graph below show the cost of tomato plants for each purchased. What is the cost of one tomato plant
Answers
Answer:
There is no phone...so i dont know what the numbers are....
Step-by-step explanation:
Choose the odd one out. Give a reason for your answer. 75%. 3/4. 0.75. 7.5
Answers
What is 345 divied by 189 remander2
Answers
Answer:
37
4 remander
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:
5 ⟌ 1 8 9
Step 2:
The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
5 ⟌ 1 8 9
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
0
5 ⟌ 1 8 9
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
5 ⟌ 1 8 9
- 0
1
Step 5:
Move down the 2nd digit of the dividend (8) like this:
0
5 ⟌ 1 8 9
- 0
1 8
Step 6:
The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:
0 3
5 ⟌ 1 8 9
- 0
1 8
Step 7:
Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:
0 3
5 ⟌ 1 8 9
- 0
1 8
1 5
Step 8:
Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3
Step 9:
Move down the last digit of the dividend (9) like this:
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 10:
The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 11:
Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
3 5
Step 12:
Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
- 3 5
4
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 189 divided by 5 calculated using Long Division is:
37
4 Remainder
12. Four shovels of sand are used for every 5 shovels of gravel in making concrete.
How much gravel is needed for 64 shovels of sand?
Answers
Answer:
80
Step-by-step explanation:
64s : Xg
4s.Xg = 5g.64s
X = (5g*64s)/4sg
= 5*64/4
= 5*16
= 80
While shopping for a speaker, you see a discount.
What expressions can be used to find the total discount?
Select all the correct methods that apply (3).
0.3 * 42.00
3/10 * 42
0.03 * 42
3 * 4.2
30 * 42
Answers
3/10
0.03
Hope this helped
I WILL GIVE BRAINLEST
Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes
PLSSS SHOW YOUR WORK PLSSSSSS
Answers
Answer:
2d-5=Q ?
Step-by-step explanation:
Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)
Polygon PQRST shown below is dilated with a scale factor of 3, keeping vertex P as the center of dilation:
Answers
Answer:
Its either A or B:
The length of diagonal PS and diagonal P'S' are in the ratio 1:3.
The lengths of side PT and side R'Q' are in the ratio 1:3.
Five congruent squares are put together without gaps or overlap to form a figure shaped like a plus sign. The
perimeter of the figure is 72 cm. Find the area of the figure, in cm?
Answers
Answer:
180 square centimeters
Step-by-step explanation:
Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.
Factor the following by completing the square w^4-22w^2+9
Answers
Answer:
(w² - 4w - 3) (w² + 4w - 3)
Step-by-step explanation:
w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9