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2 years ago

Over the last 16 years Johanna saved some of her pay each month. She now has $46000. She decided to invest some of it at 5.25%

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

6 0

Answer:

what is the question?

do you have to find how much she is investing?

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HELP!!!!!! I believe its B but I am not sure! :(

n200080 [17]

Answer:

Step-by-step explanation:

When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

$e^{4x-1} =3$

We begin by applying the natural logarithm to each side.

$ln(e^{4x-1}) =ln(3)$

Log rules allow use to rearrange the exponent as multiplication in front of the log.

$(4x-1)ln(e) =ln(3)$

ln e as an inverse simplifies to 1.

$(4x-1)(1)=ln(3)$

We now apply the inverse operations for subtraction and multiplication.

$4x-1+1=1+ln(3)\\4x=1+ln(3)\\\frac{4x}{4} =\frac{1+ln3}{4} \\x =\frac{1+ln3}{4}$

Option A is correct.

5 0

3 years ago

What is an algebraic expression

Bond [772]

An algebraic expression is an expression that includes constants, variables, and the algebraic operations (add, subtract, multiply, divide.

4 0

3 years ago

100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u

podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 = (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0. We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this: does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13? Yes.

7 0

3 years ago

Given that M is the midpoint of L and P. If LP=4x-1, LM=8, find x and LP

Alenkinab [10]

Answer:

LP = 16 units (8 + 8)

x = 4.25 units

Step-by-step explanation:

8 0

3 years ago

Im the diagram shown JKL~ MNP. Find MP and PN.

Vilka [71]

Answer: $MP=10, PN=6$

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so:

$\\\\frac{MP}{5}=\frac{8}{4}\\\\MP=10\\\\\frac{PN}{3}=\frac{8}{4}\\\\PN=6$

7 0

2 years ago