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valentinak56 [21]
2 years ago
5

Alexus deposited $1900 into a savings account that pays a simple annual interest rate of 1.8%. how much interest will she earn a

fter 9 months?
Mathematics
2 answers:
elena55 [62]2 years ago
4 0
1900 x 0.018 x 0.75 = 25.65


1900(0.018) = $34.20 for 1 year.

(9/12)(34.20) = $25.65 for 9 months.

Answer: $25.65
g100num [7]2 years ago
4 0

Answer:

$25.65

Step-by-step explanation:

We have been given that Alexus deposited $1900 into a savings account that pays a simple annual interest rate of 1.8%.

To find the amount of interest earned in 9 months we will use simple interest formula.

I=Prt, where,

I=\text{Amount of interest},

P=\text{Principal amount},

r=\text{Interest rate in decimal form},

t=\text{Time in years}

Let us convert our given interest rate in decimal form and time in years.

1.8\%=\frac{1.8}{100}=0.018

9\text{ months}=\frac{9}{12}\text{ year}=\frac{3}{4}\text{ year}=0.75\text{ year}

Upon substituting our given values in simple interest formula we will get,

I=\$1900*0.018*0.75

I=\$25.65

Therefore, Alexus will earn an amount of $25.65 in interest after 9 months.

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soldier1979 [14.2K]

Answer:

50°

Step-by-step explanation:

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3 0
3 years ago
a missile is launched from the ground. its height, h(x), can be represented by a quadratic function in terms of time, x, in seco
fomenos

Answer:

The height of the missile in the air  after 11 seconds is 330 feet.

Step-by-step explanation:

The standard form for the quadratic function f(x)= ax^2 + bx + c, which is the function of the parabola model.

We are given two points.

(1, 130) and (2, 240)

Here the first coordinate represents the x (time) and the second coordinate represents h(x), which is height.

Now plug these two coordinates and find the two equations.

(1, 130), the equation is

130 = a.(1)^2 + b(1) + c, where "c" is the initial height. Which is equal to zero.

Therefore, we get

130 = a + b + 0

a + b = 130 -------(1)

Now let's form the second equation using the coordinate (2, 240)

240 = a(2)^2 + b(2) + 0

240 = 4a + 2b -------------(2)

Now let's solve the equations (1) and (2) and find the value of "a" and "b"

a + b = 130 can be written as a = 130 - b

Here we can use the substitution method.

Now plug in a = 130 - b in the second equation, we get

240 = 4(130 - b) + 2b

240 = 520 - 4b + 2b

240 = 520 - 2b

2b = 520 - 240

2b = 280

Dividing both sides by 2, we get

b = 140

Now plug in b = 140 in a = 130 -b and find the value of a

a = 130 - 140

a = -10

Now we got a = -10 and b = 140.

We plug in a = -10 and b = 140 in the general form, we gety

h(x) = -10x^2 + 140x + c

Where c is the initial height, which is equal to 0.

h(x) = -10x^2 + 140x

Now plug in x = 11 seconds and find the height.

h(11) = -10(11)^2 + 140 (11)

= -10 (121) + 1540

= - 1210 + 1540

h(11) = 330 feet,

Therefore, the height of the missile in the air  after 11 seconds is 330 feet.

6 0
3 years ago
Please help explain how to solve problem 16?
Anarel [89]
Here is the problem.....√(15x + 10) = 2x+3

to remove the square root, we do the opposite which is to square everything.

(√(15x + 10))² = (2x + 3)²      (the square negates the square root)
15x + 10 = (2x +3)(2x + 3)    (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9  (combine like terms)
15x + 10 = 4x² + 12x + 9      (subtract 15x and 10 from each side)
-15x - 10          -15x - 10
0 = 4x² - 3x - 1                      (factor completely)
(x - 1) (4x + 1)                    (set each to equal 0)

x - 1 = 0                4x + 1 = 0
x = 1                      4x = -1
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place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.

answer is 1
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A = {1, 3, 5, 7, 9}
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3 years ago
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Answer:

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