A person invested ​$69006900 for 1​ year, part at 88​%, part at 99​%, and the remainder at 1515​%. The total annual income from these investments was ​$818818. The amount of money invested at 1515​% was ​$100100 more than the amounts invested at 88​% and 99​% combined. Find the amount invested at each rate. The person invested ​$____ at 88​%, $______ at 99​%, and $____ at 1515​%.

Q: A culture of bacteria has an initial population of 920 bacteria and doubles every 7 hours. Using the…

A: We will use the given formula that determines the population after t hours to find the population…

Q: Solve for the exact value of x. 5 In(4x – 10) + 11 = 1 Answer: Submit Answer

A: From the given value:   5ln4x-10+11=1   So,   5ln4x-10+11=15ln4x-10+11-11=1-115ln4x-10=-10...(1)

Q: Solve for the exact value of x. 5 In(4x – 10) + 11 = 1

A: The equation is given by 5 ln(4x-10) + 11 = 1 To evaluate : The value of x

Q: The formula occurs in the indicated application. Solve for the specified variable.

A: Given formula is 1f=1p+1q. To solve for  variable q. Solution: We have to solve the formula for…

Q: 60.x = x + 3 1 2 3

A: Let us consider the expression, ax+b= cx+d  So, x(a-c)= d-b  So, x= (d-b)/(a-c) is the required…

Q: John’s age 8 years hence is three times of his age 12 years ago. How old is he now?

A:

Q: A woman saved GH¢ 30,000 in a bank A, whose rate was ? % per annum and GH¢ 20,000 in another bank B…

A:

Q: How far would a car go in 4h at an average speed of 55mi/h?

A: The average speed of a car is 55mi/h.

Q: Solve the following. 3. 1 3. 10 8. 2 10/-

A:

Q: Solve for x: 19(1.13*) = 12(1.05*)

A:

Q: Solve for the exact value of x. 5 In(4x – 10) + 11 = 1 %3D

A: 5ln(4x-10) =11=1Note = loge = 2.303log10log(4x-10)=-105×2.303=-0.8684Take antilog both sides 4x-10=…

Q: Solve the following. 1.

A:

Q: Solve the equation without using a calculator.

A: lnx+2=lneln2-lnx

Q: Solve for x: [1+(0.018/365)]365x=3

A:

Q: You invested $28,000 in two accounts paying 8% and 9% annual interest, respectively. If the total…

A:

Q: if I invest 1000 at 2% interest how long will it take to double my money

A:

Q: 3. Solve for x: 5(x +4) = -30 %D

A: Given:       5x+4=-30 Solving for x:         5x+4=-30 Its distributive property.         5x+20=-30

Q: Solve for the value of x: 62x > 67 O a. x14 O c. x> 2/7 O d. x> 7/2

A: Given inequality is: 6^(2x) > 6^7 We have to solve the value for x.

Q: A car is depreciating according to the formula V= 50,000 (3.20)-0.05x where X is the age of the car…

A: The given formula of depreciation of a car is,

Q: 5. The cold-water faucet of a bath tub can fill the tub in 15 minutes. The drain, when opened, can…

A: This is the problem of time and work. First we have to find out individual work complete in unit…

Q: Solve for x. 3 8. 5. x= [?] Enter the number, in decimal form, that belongs in the green boX. Enter

A:

Q: Solve for x. 20x - 42 x +7 x2 + x-42 Submit Question 2)

A: Solution: The objective is to find the value of x

Q: Solve the following exponential equation and inequalities. 43x–1 27 4. 4" = 128 | 3.

A:

Q: 20. Solve for x. 27 x + 10 18

A: Intercept theorem states that if a line segment divides two or more parallel lines into equal parts,…

Q: Solve for all values of x. 3 1+ x + 9 x2 + 15x + 54

A: The equation is given by 1+3x+9 = xx2+15x+54                                        ........(1) To…

Q: s: Solve each e 1. 3x-22 - -x+10

A: We are authorized to answer one question at  a time, since you have not mentioned which question you…

Q: Solve for the exact value of x. 3 In(5x – 1) + 17 = 29

A: Use the properties of natural lograthim and simplify.

Q: Solve for the exact value of x. 2 In(4x + 10) – 2 = 14

A:

Q: solve for x to the nearest hundredth 3x=22

A: The given equation to be solved is,

Q: The mass of the sun is about 2 x 1030 kg, and the mass of earth is 6 x 1024 kg. Approximately how…

A: mass of sun = 2 × 10 30 kg  mass of earth is = 6 × 10 24 kg

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm?/s) is the area of the…

A:

Q: Solve the equation for x .   In x = 2

A: The given equation is ln x = 2. To simplify the given equation, apply the antilog property ln…

Q: Find the number between 1/2 and 3/2 such that the sum of this number and its reciprocal is as big as…

A: The numbers between 12 and 32 or 0.5 and 1.5 are as follows: 0.6, 0.7, 0.8, 0.9, 1, 1.2, 1.3, 1.4…

Q: A pool is 7ft high. Its volume is 1400cu.ft. If it will be renovated such that it will be 20% lower,…

A:

Q: Solve for x. logs 4 = x A 4,096 2/3 3/2 32 O O

A: Here we have to find the value of x.  The solution is following.

Q: Solve for the value of t. =12 3)

A:

Q: Solve for x in simplest form. 1 3 = 3(10x – 12) -

A:

Q: Solve the following. 5* + x = 2x + 3 X =

A: The given equation is: 5x+x=2x+3

Q: Solve the following. a. 4x= 1,024   b. 2,000(1.4)x= 6,000

A:

Q: Solve for the exact value of x. 3 In(3x + 9) + 2 = 17

A: The logarithmic equation is given by 3ln3x+9 + 2 =17 To evaluate : The exact value of x

Q: 22 14 11

A:

Q: Find the solution for x in the formula 6x=21?

A:

Q: Find the balance if $3200 invested at an annual rate of 4%for 10 years, compound continiously

A: Let , P = Principal amount         r = Annual rate of interest (in %)         n = Time (in years) If…

Q: Solve the following for x: 22 lx-31

A: Given,           x-4x-3≥2

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: Consider the given function, C(x)=1.85x100-x  Put x=30% in the function.…

Q: Find the value of x. * 64° T of

A: For the given figure, Here arc RT makes an angle of 68° at center O. So  ∠RST=360°-68°…

Q: Solve for x. If necessary, round to the nearest ten-thousandth. (If there is no solution, enter NO…

A:

Q: Solve each equation for x. (a) In(In(x)) = 6 X = (b) 12 x = .91023509

A: A). ln(ln(x))= 6 Taking antilog on both sides, ln(x)= e⁶ Again taking antilog on both sides, x= ee⁶…

Q: Solve for x   25,000=325,000(1,000,000)^x

A:

Q: Solve for x e^7x =20

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.