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sdas [7]
3 years ago
10

bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly 128 interest in 2 ye

ars how much money should he deposite
Mathematics
1 answer:
mina [271]3 years ago
7 0
The formula for simple interest is <em>I</em> = <em>prt</em>, where <em>I </em>is the amount of interest, <em>p</em> is the principal invested, <em>r</em> is the rate as a decimal number and <em>t</em> is the amount of time.  Substituting our given information we have
128 = <em>p</em>(0.016)(2) ----- 1.6% = 1.6/100 = 0.016
128 = <em>p</em>(0.032)
Divide both sides by 0.032:
128/0.032 = <em>p</em>(0.032)/0.032
4000 = <em>p</em>
He needs to invest $4000.
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X - 2y = 3<br> 5x + 3y = 2<br> The lines whose equations are shown intersect at which point?
Lady_Fox [76]

The point of intersection of the two lines is at (1,-1)

<h3>System of equation</h3>

The given system of expression is shown below

x - 2y = 3

5x + 3y = 2

The solution to the system of equation is the point of intersection

From equation 1

x = 3 + 2y

Substitute into 2

5(3+2y) + 3y = 2

15 +10y + 3y = 2

13y = -13

y = -1

Substitute y = -1 into 3

x = 3 + 2y

x = 3+(-2)

x = 1

Hence the point of intersection of the two lines is at (1,-1)

Learn more on system of equation here: brainly.com/question/25976025

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8 0
2 years ago
A line with a slope of 3 passes through the point (2, 5). Write an equation for this line in point-slope form.
Phantasy [73]

Answer:

slope = 3

point (2, 5)

b = y - m*x

b = 5 -3*2

b = -1

Then we enter the slope and the value of b into this equation:

y = mx + b

y = 3x -1

Source: https://www.1728.org/distance.htm

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is 63÷9+40-35÷7 pls help
Murljashka [212]
63/9 + 40 - 35/7 =
7 + 40 - 5 =
47 - 5 =
42 <==
6 0
3 years ago
Read 2 more answers
Please helpppppppppppp
morpeh [17]

Answer:

7.7 km

Explanation:

Use cosine rule as here given two sides and one angle.

Cosine rule states:

a² = b² + c² - 2bc cos(A)

While solving, treat a = 7.5 km as to that opposite angle is given of 68°

then b = missing side, c = 5.2 km, A = 68°

Applying rule:

7.5² = b² + 5.2² - 2(b)(5.2) cos(68)

56.25 = b² + 27.04 - 3.8959b

56.25 - 27.04 = b² - 3.8959b

b² - 3.8959b = 29.21

b² - 3.8959b - 29.21 = 0

apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]

\sf b = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad\:when \:\ ax^2 + bx + c = 0

\sf b = \dfrac{ -(-3.8959) \pm \sqrt{(-3.8959)^2 - 4(1)(-29.21)}}{2(1)}

\sf b = 7.69 291 \quad or \quad b = -3.797

\sf b = 7.7 \quad (rounded \ to \ nearest \ tenth)

As length cannot be negative. Hence the value of b is only 7.7 km

7 0
1 year ago
Read 2 more answers
A dog will eat 4 cups of dog kibble a day. There is 100 cups of dog food in a 50lb bag. How much dog food will a dog eat in a ye
diamong [38]
4 x 365 = 1460

1460/100 =14.6

14.5 x 50 = 760lbs
5 0
2 years ago
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