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lara [203]
2 years ago
11

A mother wants to invest $6000 for her children's education. She invests a portion of the money in a bank certificate of deposit

(CD account) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $360, how much money was invested at each rate?
Mathematics
1 answer:
faltersainse [42]2 years ago
6 0
0.04x+0.07(6000-x)=360
0.04x+420-0.07x=360
0.04x-0.07x=360-420
−0.03x=−60
X=60/0.03=2,000 at 4%
6000-2000=4000 at 7%

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PLEASE HELP!! WILL GIVE BRAINLIEST IF UR RIGHT!!
Cerrena [4.2K]
<span>ratio of the surface area of the sphere to the surface area of the cube
=
</span>4nr^2 / <span>24r^2 = n/6

answer

</span><span>A.
n/6</span>
3 0
3 years ago
Among the eighth-graders in Michael's school, 70% have siblings. The eighth-grade class is 5/6 the size of the seventh-grade cla
nikklg [1K]

Answer:

d. 192

Step-by-step explanation:

OK so if 70% of students in 8th grade have siblings and 112 8th graders have siblings, then:




0.7(total 8th graders) = 112


total 8th graders = 112/0.7


total 8th graders = 160




And since the number of 8th graders is 5/6 the size of the 7th grade class:


5/6(7th grade class) = 160


5(7th grade class) = 960


7th grade class = 192.




The correct answer is D) 192.


hope this helps can i be brainliest please

4 0
3 years ago
See question in screenshot below.
alexgriva [62]

The equation of the transformation of the exponential function <em>y</em> = 2ˣ in the form <em>y</em> = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is <em>y</em> = (-2)·2ˣ + 3

<h3>What is an exponential equation?</h3>

An exponential equation is an equation that has exponents that consists of variables.

The given equation is <em>y</em> = 2ˣ

The equation for the transformation is; <em>y</em> = A·2ˣ + k

The points on the graphs are;

(0, 1), (1, -1) and (2, -5)

Plugging the <em>x </em>and <em>y</em>-values to find the value <em>A</em> and <em>k</em> gives  the following simultaneous equations;

When <em>x</em> = 0, <em>y</em> = 1, therefore;

1 = A·2⁰ + k = A + k

1 = A + k...(1)

When <em>x</em> = 1, <em>y</em> = -1, which gives;

-1 = A·2¹ + k

-1 = 2·A + k...(2)

Subtracting equation (1) from equation (2) gives;

-1 - 1 = 2·A - A + k - k

-2 = A

1 = A + k, therefore;

1 = -2 + k

k = 2 + 1 = 3

k = 3

Which gives;

y = -2·2ˣ + 3 = 3 - 2·2ˣ

Learn more about the solutions to simultaneous equations here:

brainly.com/question/26310043

#SPJ1

3 0
11 months ago
15
Alex_Xolod [135]

Answer:

The answer is 15

Step-by-step explanation:

its 15 because unit rate is like 60 min=1 hour

and in this situation, the unit rate would be 15 because for every hour he earns 15 dollars

3 0
2 years ago
Which functions have a vertex with a x-value of 0? select three options. f(x) = |x| f(x) = |x| 3 f(x) = |x 3| f(x) = |x| − 6 f(x
Doss [256]

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are  functions have a vertex with a x-value of 0.

<h3>What is a function?</h3>

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

The standard absolute value function is found as;

\rm f(x) = a|x - h| + k

Where,

(h, k) denotes to the vertex

h is the vertex of the x-coordinate

k is the y-coordinate of the vertex

By comparing the standard equation with the given equation in the options we will get the functions to have a vertex with an x-value of 0;

\rm f(x)  =  |x| \\\\ \rm f(x) = |x|  +  3 \\\\ f(x) = |x|  -  6

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are  functions have a vertex with a x-value of 0.

Hence options 1,2 and 4 are functions that have a vertex with an x-value of 0.

To learn more about the function refer to the link;

brainly.com/question/12431044

8 0
2 years ago
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